jamtJournal of Advanced Materials and TechnologiesJournal of Advanced Materials and Technologies2782-21922782-2206ФГБОУ ВО «ТГТУ»10.17277/jamt.2023.03.pp.227-251jamt-22Research ArticleПроизводственные процессы и системыManufacturing processes and systemsНанокластерная фрактальная электропроводимость в тонких пленках на твердой поверхности: размерные модели разных конфигураций и демонстрация результатов в лазерном экспериментеNanocluster fractal electrical conductivity in thin films on a solid surface: dimensional models of different configurations and demonstration of results in a laser experimenthttps://orcid.org/0000-0002-4536-8576БухаровД. Н.BukharovD. N.

Бухаров Дмитрий Николаевич, старший преподаватель

ул. Горького, 87, Владимир, 600000

Dmitry N. Bukharov, Senior Lecturer

87, Gorky St., Vladimir, 600000

bukharov@vlsu.ruhttps://orcid.org/0000-0003-0589-9265КучерикА. О.KucherikA. O.

Кучерик Алексей Олегович, доктор физико-математических наук, доцент, проректор по научной работе и цифровому развитию

ул. Горького, 87, Владимир, 600000

Alexey O. Kucherik, D. Sc. (Phys. and Math.), Associate Professor, Vice-Rector for Research and Digital Development

87, Gorky St., Vladimir, 600000

kucherik@vlsu.ruhttps://orcid.org/0000-0002-6323-7123АракелянС. М.ArakelianS. M.

Аракелян Сергей Мартиросович, доктор физикоматематических наук, профессор, заведующий кафедрой

ул. Горького, 87, Владимир, 600000

Sergei M. Arakelian, D. Sc. (Phys. and Math.), Professor, Head of Department

87, Gorky St., Vladimir, 600000

arak@vlsu.ruВладимирский государственный университет им. Александра Григорьевича и Николая Григорьевича СтолетовыхРоссияVladimir State University named after Alexander and Nikolay StoletovsRussian Federation20231302202683227251Copyright © Бухаров Д.Н., Кучерик А.О., Аракелян С.М., 20262026Бухаров Д.Н., Кучерик А.О., Аракелян С.М.Bukharov D.N., Kucherik A.O., Arakelian S.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://jamt.elpub.ru/jour/article/view/22

Рассмотрены модели формирования нанокластерных фрактальных структур разной конфигурации в рамках ряда подходов в аспекте управления их электрофизическими характеристиками и приведены результаты некоторых экспериментов по данному направлению в лазерных схемах. Акценты сделаны на обсуждении и анализе следующих вопросов: физические принципы и модели для электропроводимости топологических наноструктур; локальные поля на наномасштабах и их роль в зависимости от параметров среды и геометрии шероховатости в коэффициентах усиления для электропроводимости; методика эксперимента; вольт-амперные характеристики топологических наноструктур и механизмы электропроводности в разных условиях эксперимента. При этом исследованы возникающие дорожки электропроводимости, рассмотрены алгоритмы и модели для расчета электропроводимости, проанализированы наноструктуры разной конфигурации, приведены демонстрационные экспериментальные результаты и дана их интерпретация, оценена роль фотопроводимости в подобных наноструктурах. Полученные результаты могут быть полезны при разработке различных элементов и систем топологической наноэлектрофизики и нанофотоники на новых физических принципах.

Models for the formation of nanocluster fractal structures of various configurations are considered within the framework of a number of approaches in the aspect of controlling their electrophysical characteristics, and the results of some experiments in this direction by laser experiment are presented. Emphasis is placed on the discussion and analysis of the following issues: physical principles and models for the electrical conductivity in topological nanostructures; local fields in nanoscale and their contribution to the gain coefficient for electrical conductivity in aspect of parameters of the medium and the geometry factors for roughness; experimental technique; current-voltage characteristics and mechanisms of electrical conduction for topological nanostructures under different conditions. At the same time, occurrence of conduction electropaths, and also the algorithms and models considered for calculating of electrical conductivity for nanostructures of different configuration are analyzed, experimental results and their interpretation are presented, and the role of photoconductivity were studied in such nanostructures. The results obtained can be useful in the development of certain elements and systems of nanotopological electrophysics and nanophotonics based on new physical principles.

нанокластерыфрактальные конфигурациитопологическая электропроводимостьразмерные эффектымодели и эксперименты с разными механизмами электропроводимости в определенных условиях.nanoclustersfractal configurationstopological electrical conductivitydimentional effectsmodeling and experiments with different mechanisms of electrical conductivity in various conditions.Исследование проводилось в рамках научно-исследовательского задания Министерства науки и высшего образования Российской Федерации (тема ФЗУН-2020-0013, государственное задание ВГУ). Исследования проводились с использованием оборудования межрегионального междисциплинарного и междисциплинарного центра коллективного пользования перспективными и конкурентоспособными технологиями в областях разработки и применения в промышленности/машиностроении отечественных достижений в области нанотехнологий (соглашение № 075-15-2021-692 от 5 августа 2021 г.). Исследование частично финансировалось в рамках Соглашения о субсидировании № 075-15-2019-1838 от 6 декабря 2019 г., ФТП «Исследования и разработки в приоритетных областях развития научно-технического комплекса на 2014-2020 годы», Вид деятельности 1.2, этап 1. Код: 2019-05-576-0001 «Разработка многофункционального высокотехнологичного комплекса для послойной микромодификации и наномодификации поверхностей критических деталей машиностроения с использованием лазерно-гибридных технологий».The research was conducted as part of the scientific research task of the Ministry of Science and Higher Education of the Russian Federation (subject FZUN-2020-0013, state task of VlGU). The studies were carried out using the equipment of the interregional multidisciplinary and interdisciplinary center for the collective use of promising and competitive technologies in the areas of development and application in industry / mechanical engineering of domestic achievements in the field of nanotechnology (agreement No. 075-15-2021-692 dated August 5, 2021). The research was partially supported by the Subsidy Agreement No. 075-15-2019-1838 dated December 6, 2019, FTP “Research and development in priority areas for the development of the scientific and technological complex for 2014-2020”, Activity 1.2, stage 1. Code: 2019-05-576-0001 “Development of a multifunctional high-tech complex for layer-bylayer micro and nanomodification of surfaces of critical machine building parts using laser-hybrid technologies”.ReferencesArakelyan SM, Kucherik AO, Prokoshev VG, Rau VG, Sergeev AG. Introduction to Femtonanophotonics, Fundamentals and Laser Methods. Tutorial. Moscow: Logos; 2015. 744 p. (In Russ.).Arakelyan SM, Kucherik AO, Prokoshev VG, Rau VG, Sergeev AG. Introduction to Femtonanophotonics, Fundamentals and Laser Methods. Tutorial. Moscow: Logos; 2015. 744 p. (In Russ.).Gantmakher VF. Electrons in disordered media. 3rd ed. Moscow: Fizmatlit; 2013. 288 p. (In Russ.).Gantmakher VF. Electrons in disordered media. 3rd ed. Moscow: Fizmatlit; 2013. 288 p. (In Russ.).Ed. by Guowei Yang. Laser ablation in liquids. New York: Pan Stanford Publ.; 2012. 1192 p. DOI:10.1201/b11623Ed. by Guowei Yang. Laser ablation in liquids. New York: Pan Stanford Publ.; 2012. 1192 p. DOI:10.1201/b11623Kucherik AO, Arakelyan SM, Garnov SV, Kutrovskaya SV, Nogtev DS, Osipov AV, Khorkov KS. Two-stage laser-induced synthesis of linear carbon chains. Kvantovaya elektronika = Quantum Electronics. 2016;46(7):627-633. (In Russ.)Kucherik AO, Arakelyan SM, Garnov SV, Kutrovskaya SV, Nogtev DS, Osipov AV, Khorkov KS. Two-stage laser-induced synthesis of linear carbon chains. Kvantovaya elektronika = Quantum Electronics. 2016;46(7):627-633. (In Russ.)Kutrovskaya SV, Arakelian SМ, Kucherik AO, Osipov AV, Garnov SV. Long linear carbon chain–laserinduced structures and possible applications. Laser Physics. 2019;29(8):085901. DOI:10.1088/1555-6611/ab183aKutrovskaya SV, Arakelian SМ, Kucherik AO, Osipov AV, Garnov SV. Long linear carbon chain–laserinduced structures and possible applications. Laser Physics. 2019;29(8):085901. DOI:10.1088/1555-6611/ab183aCannella C, Goldman N. Carbyne fiber synthesis within evaporating metallic liquid carbon. Journal of Physical Chemistry C. 2015;119:21605-21611. DOI:10.1021/acs.jpcc.5b03781Cannella C, Goldman N. Carbyne fiber synthesis within evaporating metallic liquid carbon. Journal of Physical Chemistry C. 2015;119:21605-21611. DOI:10.1021/acs.jpcc.5b03781Arakelian S, Kutrovskaya S, Kucherik A, Emel'yanov V, Zimin S. Laser-induced synthesis of nanostructured metal–carbon clusters and complexes. Optical and Quantum Electronics. 2016;48:3421-3416. DOI:10.1007/s11082-016-0776-7Arakelian S, Kutrovskaya S, Kucherik A, Emel'yanov V, Zimin S. Laser-induced synthesis of nanostructured metal–carbon clusters and complexes. Optical and Quantum Electronics. 2016;48:3421-3416. DOI:10.1007/s11082-016-0776-7Kucherik AO, Osipov AV, Arakelian SM, Garnov SV, Povolotckaya AV, Kutrovskaya SV. The laser-assisted synthesis of linear carbon chains stabilized by noble metal particle. Journal of Physics: Conference Series. 2019; 1164:012006(1-7). DOI:10.1088/1742-6596/1164/1/012006Kucherik AO, Osipov AV, Arakelian SM, Garnov SV, Povolotckaya AV, Kutrovskaya SV. The laser-assisted synthesis of linear carbon chains stabilized by noble metal particle. Journal of Physics: Conference Series. 2019; 1164:012006(1-7). DOI:10.1088/1742-6596/1164/1/012006Amsler M, Flores-Livas J, Marques M. Prediction of a novel monoclinic carbon allotrope. The European Physical Journal B. 2013;86(9):1-3. DOI:10.1140/epjb/e2013-40639-4Amsler M, Flores-Livas J, Marques M. Prediction of a novel monoclinic carbon allotrope. The European Physical Journal B. 2013;86(9):1-3. DOI:10.1140/epjb/e2013-40639-4Khorkov K, Kochuev D, Chkalov R, Prokoshev V, Arakelian S. Nonlinear dynamic processes in laser-induced transitions to low-dimensional carbon nanostructures in bulk graphite unit. Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019), Springer Nature Switzerland. 2020;3(131-140). DOI:10.1007/978-3-030-34724-6_14Khorkov K, Kochuev D, Chkalov R, Prokoshev V, Arakelian S. Nonlinear dynamic processes in laser-induced transitions to low-dimensional carbon nanostructures in bulk graphite unit. Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019), Springer Nature Switzerland. 2020;3(131-140). DOI:10.1007/978-3-030-34724-6_14Bagayev SN, Arakelyan SM, Kucherik AO, Bukharov DN, Butkovskiy OYa. Nanooptics of thin-film laser-induced topological structures on a solid surface: fundamental phenomena and their applications. Bulletin of the Russian Academy of Sciences: Physics. 2020;84(12): 1682-1695. DOI:10.3103/S1062873820120060 (In Russ.)Bagayev SN, Arakelyan SM, Kucherik AO, Bukharov DN, Butkovskiy OYa. Nanooptics of thin-film laser-induced topological structures on a solid surface: fundamental phenomena and their applications. Bulletin of the Russian Academy of Sciences: Physics. 2020;84(12): 1682-1695. DOI:10.3103/S1062873820120060 (In Russ.)Kresin VV, Ovchinnikov YuN. Fast electronic relaxation in metal nanoclusters via excitation of coherent shape deformations. Physical Review B – Condensed Matter and Materials Physics. 2006;73:115412. DOI:10.1103/PhysRevB.73.115412Kresin VV, Ovchinnikov YuN. Fast electronic relaxation in metal nanoclusters via excitation of coherent shape deformations. Physical Review B – Condensed Matter and Materials Physics. 2006;73:115412. DOI:10.1103/PhysRevB.73.115412Abrikosov AA. Fundamentals of the theory of metals. Moscow: Nauka; 1987. 520 p. (In Russ.)Abrikosov AA. Fundamentals of the theory of metals. Moscow: Nauka; 1987. 520 p. (In Russ.)Sadakov AV, Sobolevsky OA, Pudalov VM. What led to the removal of the article on room temperature superconductivity from the journal Nature: a series of errors or falsification? Uspekhi fizicheskikh nauk = Physics-Uspekhi. 2022;192:12(1409-1412). DOI:10.3367/UFNe.2022.11.039265 (In Russ.)Sadakov AV, Sobolevsky OA, Pudalov VM. What led to the removal of the article on room temperature superconductivity from the journal Nature: a series of errors or falsification? Uspekhi fizicheskikh nauk = Physics-Uspekhi. 2022;192:12(1409-1412). DOI:10.3367/UFNe.2022.11.039265 (In Russ.)Arakelian SM, Kucherik AO, Khudaberganov TA, Bukharov DN, Istratov AV, Khorkov KS, Osipov AV, Butkovskiy OY. Nanophysics in laser-induced cluster systems: topological quantum states in electrical conductivity and features of optical spectra – theory and experiment for dimensional effects. Optical and Quantum Electronics. 2020;52(3):202. DOI:10.1007/s11082-020-02308-6Arakelian SM, Kucherik AO, Khudaberganov TA, Bukharov DN, Istratov AV, Khorkov KS, Osipov AV, Butkovskiy OY. Nanophysics in laser-induced cluster systems: topological quantum states in electrical conductivity and features of optical spectra – theory and experiment for dimensional effects. Optical and Quantum Electronics. 2020;52(3):202. DOI:10.1007/s11082-020-02308-6Dong X, Oganov A, Cui H, Zhou X-F, Wang H-T. Electronegativity and chemical hardness of elements under pressure. Proceedings of the National Academy of Sciences of the United States of America. 2022;119(10): e2117416119. DOI:10.1073/pnas.2117416119Dong X, Oganov A, Cui H, Zhou X-F, Wang H-T. Electronegativity and chemical hardness of elements under pressure. Proceedings of the National Academy of Sciences of the United States of America. 2022;119(10): e2117416119. DOI:10.1073/pnas.2117416119Frydman A. Erratum to: The superconductor insulator transition in systems of ultrasmall grains. Physica C: Superconductivity and its Applications. 2003;391(4): 189-195. DOI:10.1016/S0921-4534(03)01356-XFrydman A. Erratum to: The superconductor insulator transition in systems of ultrasmall grains. Physica C: Superconductivity and its Applications. 2003;391(4): 189-195. DOI:10.1016/S0921-4534(03)01356-XLandau LD, Lifshitz EM. Theoretical physics. Statistical physics. Part I. Moscow: Fizmatlit; 2013. 620 p. (In Russ.).Landau LD, Lifshitz EM. Theoretical physics. Statistical physics. Part I. Moscow: Fizmatlit; 2013. 620 p. (In Russ.).Landau LD, Lifshitz EM. Theoretical physics. Electrodynamics of continuous media. Moscow: Fizmatlit; 2005. 656 p. (In Russ.)Landau LD, Lifshitz EM. Theoretical physics. Electrodynamics of continuous media. Moscow: Fizmatlit; 2005. 656 p. (In Russ.)Antipov AA, Arakelyan SM, Garnov SV, Kutrovskaya SV, Kucherik AO, Nogtev DS, Osipov AV. Laser ablation of carbon targets placed in a liquid. Quantum Electronics. 2015;45(8):731-735. DOI:10.1070/QE2015v045n08ABEH015681Antipov AA, Arakelyan SM, Garnov SV, Kutrovskaya SV, Kucherik AO, Nogtev DS, Osipov AV. Laser ablation of carbon targets placed in a liquid. Quantum Electronics. 2015;45(8):731-735. DOI:10.1070/QE2015v045n08ABEH015681Kutrovskaya SV, Antipov AA, Arakelyan SM, Kucherik AO, Osipov AV. Measurement of the electrophysical properties of metal microcontacts using fractal geometry methods for the analysis of atomic force microscopy data. Poverkhnost′. Rentgenovskiye, sinkhrotronnyye i neytronnyye issledovaniya = Journal of Surface Investigation: X-Ray, Synchrotron and Neutron Techniques. 2017;3(1):59-65. (In Russ.)Kutrovskaya SV, Antipov AA, Arakelyan SM, Kucherik AO, Osipov AV. Measurement of the electrophysical properties of metal microcontacts using fractal geometry methods for the analysis of atomic force microscopy data. Poverkhnost′. Rentgenovskiye, sinkhrotronnyye i neytronnyye issledovaniya = Journal of Surface Investigation: X-Ray, Synchrotron and Neutron Techniques. 2017;3(1):59-65. (In Russ.)Jagdish N, Bhaumik A. Novel phase of carbon, ferromagnetism, and conversion into diamond. Journal of Applied Physics. 2015;118:215303. DOI:10.1063/1.4936595Jagdish N, Bhaumik A. Novel phase of carbon, ferromagnetism, and conversion into diamond. Journal of Applied Physics. 2015;118:215303. DOI:10.1063/1.4936595Magomedov MN. On baric crystal fragmentation. Physics of Solid State. 2003;45(5):953-956. DOI:10.1134/1.1575343Magomedov MN. On baric crystal fragmentation. Physics of Solid State. 2003;45(5):953-956. DOI:10.1134/1.1575343Suvakov M, Tadic B. Modeling collective charge transport in nanoparticle assemblies. Journal of Physics Condensed Matter. 2010;22(16):163201. DOI:10.1088/0953-8984/22/16/163201Suvakov M, Tadic B. Modeling collective charge transport in nanoparticle assemblies. Journal of Physics Condensed Matter. 2010;22(16):163201. DOI:10.1088/0953-8984/22/16/163201Parthasarathy R, Lin X, Elteto K, Rosenbaum TF, Jaeger HM. percolating through networks of random thresholds: finite temperature electron tunneling in metal nanocrystal arrays. Physical Review Letters. 2004;92(7): 076801. DOI:10.1103/PhysRevLett.92.076801Parthasarathy R, Lin X, Elteto K, Rosenbaum TF, Jaeger HM. percolating through networks of random thresholds: finite temperature electron tunneling in metal nanocrystal arrays. Physical Review Letters. 2004;92(7): 076801. DOI:10.1103/PhysRevLett.92.076801Bukharov DN, Osipov AV, Arakelyan SM, Kucherik AO. Graph-analytical model of the electrical conductivity of a semiconductor island plumbum telluride nanofilm. Journal of Physics: Conference Series. 2019; 1331(1):012008(1-8). DOI:10.1088/1742-6596/1331/1/012008Bukharov DN, Osipov AV, Arakelyan SM, Kucherik AO. Graph-analytical model of the electrical conductivity of a semiconductor island plumbum telluride nanofilm. Journal of Physics: Conference Series. 2019; 1331(1):012008(1-8). DOI:10.1088/1742-6596/1331/1/012008Antipov AA, Arakelian SM, Kutrovskaya S, Kucherik A, Nogtev D, Osipov A, Emelyanov V, Zimin S. Electrical conductivity of PbTe nanocluster structures with controlled topology: manifestation of macroscopic quantum effects. Bulletin of the Russian Academy of Sciences: Physics. 2016;80(7):896-906. DOI:10.3103/S1062873816070042Antipov AA, Arakelian SM, Kutrovskaya S, Kucherik A, Nogtev D, Osipov A, Emelyanov V, Zimin S. Electrical conductivity of PbTe nanocluster structures with controlled topology: manifestation of macroscopic quantum effects. Bulletin of the Russian Academy of Sciences: Physics. 2016;80(7):896-906. DOI:10.3103/S1062873816070042Butko VYu, DiTusa JF, Adams PW. Coulomb gap: how a metal film becomes an insulator. Physical Review Letters. 2000;84(7):1543-6. DOI:10.1103/PhysRevLett.84.1543Butko VYu, DiTusa JF, Adams PW. Coulomb gap: how a metal film becomes an insulator. Physical Review Letters. 2000;84(7):1543-6. DOI:10.1103/PhysRevLett.84.1543Bukharov DN, Kucherik AO, Arakelian SM. Modeling of electrical conductivity of labyrinth bimetallic nanofilms. Journal of Physics: Conference Series. 2019;1331:1:012017(1-7). DOI:10.1088/1742-6596/1331/1/012017Bukharov DN, Kucherik AO, Arakelian SM. Modeling of electrical conductivity of labyrinth bimetallic nanofilms. Journal of Physics: Conference Series. 2019;1331:1:012017(1-7). DOI:10.1088/1742-6596/1331/1/012017Arakelyan SM, Kucherik AO, Khudaberganov TA, Bukharov DN. Simulation of macroscopic quantum states in the functional properties of CVC laser-induced 4D topological nanoclusters in thin films on a solid surface. Izvestiya RAN. Seriya Fizicheskaya. 2020,84:322-327. DOI:10.31857/S0367676520030059 (In Russ.)Arakelyan SM, Kucherik AO, Khudaberganov TA, Bukharov DN. Simulation of macroscopic quantum states in the functional properties of CVC laser-induced 4D topological nanoclusters in thin films on a solid surface. Izvestiya RAN. Seriya Fizicheskaya. 2020,84:322-327. DOI:10.31857/S0367676520030059 (In Russ.)Moskalev PV. Analysis of the structure of a percolation cluster. Zhurnal tekhnicheskoy fiziki = Technical Physics. 2009;54(6):763-769. DOI:10.1134/S1063784209060012 (In Russ.)Moskalev PV. Analysis of the structure of a percolation cluster. Zhurnal tekhnicheskoy fiziki = Technical Physics. 2009;54(6):763-769. DOI:10.1134/S1063784209060012 (In Russ.)Kruglyak YuA. Nanotransistor physics: 2D MOS electrostatics and virtual source model. Nanosistemy, Nanomaterialy, Nanotekhnologii. 2018;16(4):599-631. (In Russ.)Kruglyak YuA. Nanotransistor physics: 2D MOS electrostatics and virtual source model. Nanosistemy, Nanomaterialy, Nanotekhnologii. 2018;16(4):599-631. (In Russ.)Kozadaev AS. Dubovitsky EV. Implementation of the wave algorithm for determining the shortest route on a plane when modeling paths with obstacles. Vestnik TGU. 2010;15(6):1926-1931. (In Russ.)Kozadaev AS. Dubovitsky EV. Implementation of the wave algorithm for determining the shortest route on a plane when modeling paths with obstacles. Vestnik TGU. 2010;15(6):1926-1931. (In Russ.)Zyabirov EV, Tokarev SP, Fedoseeva LI. Methods for determining the shortest path between graph vertices. Uspekhi sovremennogo yestestvoznaniya. 2011;7:113-114. (In Russ.)Zyabirov EV, Tokarev SP, Fedoseeva LI. Methods for determining the shortest path between graph vertices. Uspekhi sovremennogo yestestvoznaniya. 2011;7:113-114. (In Russ.)Zimin SP, Gorlachev ES. Nanostructured lead chalcogenides: monograph. Yaroslavl: YarGU; 2011. 211 p. (In Russ.)Zimin SP, Gorlachev ES. Nanostructured lead chalcogenides: monograph. Yaroslavl: YarGU; 2011. 211 p. (In Russ.)Bukharov DN, Lelekova AF, Kucherik AO, Antipov AA, Kutrovskaya SV. Model of hopping electrical conductivity. Certificates for registration of computer programs No. 2019663686. 22 October 2019. (In Russ.)Bukharov DN, Lelekova AF, Kucherik AO, Antipov AA, Kutrovskaya SV. Model of hopping electrical conductivity. Certificates for registration of computer programs No. 2019663686. 22 October 2019. (In Russ.)Kurdak C, Kim J, Farina LA, Lewis KM, Bai X, Rowe MP, Matzger AJ. Au nanoparticle clusters: a new system to model hopping conduction. Turkish Journal of Physics. 2003;27(5):419-426.Kurdak C, Kim J, Farina LA, Lewis KM, Bai X, Rowe MP, Matzger AJ. Au nanoparticle clusters: a new system to model hopping conduction. Turkish Journal of Physics. 2003;27(5):419-426.Bukharov DN, Kucherik AO, Arakelyan SM. Combined model of electrically conductive properties of a PbTe island nanofilm. Mathematical and computer modeling [Electronic resource]: Proceedings of the 8th International scientific conference dedicated to the memory of A.L. Iosefera (Omsk, November 20, 2020). Omsk: OmGU Publ. House; p. 110-112 (In Russ.)Bukharov DN, Kucherik AO, Arakelyan SM. Combined model of electrically conductive properties of a PbTe island nanofilm. Mathematical and computer modeling [Electronic resource]: Proceedings of the 8th International scientific conference dedicated to the memory of A.L. Iosefera (Omsk, November 20, 2020). Omsk: OmGU Publ. House; p. 110-112 (In Russ.)Pochtenny AE. DC hopping conduction in intrinsic and extrinsic organic semiconductors: monograph. Minsk: BGTU; 2016. 171 p. (In Russ.)Pochtenny AE. DC hopping conduction in intrinsic and extrinsic organic semiconductors: monograph. Minsk: BGTU; 2016. 171 p. (In Russ.)Samyshkin V, Lelekova A, Osipov A, Bukharov D, Skryabin I, Arakelian S, Kucherik A, Kutrovskaya S. Photosensitive free-standing ultra-thin carbyne–gold films. Optical and Quantum Electronics. 2019;51:394. DOI:10.1007/s11082-019-2114-3Samyshkin V, Lelekova A, Osipov A, Bukharov D, Skryabin I, Arakelian S, Kucherik A, Kutrovskaya S. Photosensitive free-standing ultra-thin carbyne–gold films. Optical and Quantum Electronics. 2019;51:394. DOI:10.1007/s11082-019-2114-3Alves HWL, Neto ARR, Scolfaro LMR, Myers TH, Borges PD. Lattice contribution to the high dielectric constant of PbTe. Physical Review B – Condensed Matter and Materials Physics. 2013;87:115-120. DOI:10.1103/PhysRevB.87.115204Alves HWL, Neto ARR, Scolfaro LMR, Myers TH, Borges PD. Lattice contribution to the high dielectric constant of PbTe. Physical Review B – Condensed Matter and Materials Physics. 2013;87:115-120. DOI:10.1103/PhysRevB.87.115204Bel'skii MD, Bocharov GS, Eletskii AV, Sommerer TJ. Electric field enhancement in field-emission cathodes based on carbon nanotubes. Technical Physics. 2010;55(2):289-295. DOI:10.1134/S1063784210020210Bel'skii MD, Bocharov GS, Eletskii AV, Sommerer TJ. Electric field enhancement in field-emission cathodes based on carbon nanotubes. Technical Physics. 2010;55(2):289-295. DOI:10.1134/S1063784210020210Arakelian S, Emel’yanov V, Kutrovskaya S, Kucherik A, Zimin S. Laser-induced semiconductor nanocluster structures on the solid surface: new physical principles to construct the hybrid elements for photonics. Optical and Quantum Electronics. 2016;48(6):342. DOI:10.1007/s11082-016-0608-9Arakelian S, Emel’yanov V, Kutrovskaya S, Kucherik A, Zimin S. Laser-induced semiconductor nanocluster structures on the solid surface: new physical principles to construct the hybrid elements for photonics. Optical and Quantum Electronics. 2016;48(6):342. DOI:10.1007/s11082-016-0608-9Venermo J, Sihvola A. Dielectric polarizability of circular cylinder. Journal of Electrostatics. 2005;63(2): 101-107. DOI:10.1016/j.elstat.2004.09.001Venermo J, Sihvola A. Dielectric polarizability of circular cylinder. Journal of Electrostatics. 2005;63(2): 101-107. DOI:10.1016/j.elstat.2004.09.001Radkov AV, Malakhanov AA. Methods for measuring the resistivity of semiconductor materials. Topical issues of technical sciences: St. Petersburg: OOO Molodoy uchenyy Publ. House; 2019. p. 18-24. (In Russ.)Radkov AV, Malakhanov AA. Methods for measuring the resistivity of semiconductor materials. Topical issues of technical sciences: St. Petersburg: OOO Molodoy uchenyy Publ. House; 2019. p. 18-24. (In Russ.)Afonsky AA, Dyakonov VP. Electronic measurements in nanotechnologies and microelectronics. Moscow: DMK Press; 2011. 688 p. (In Russ.)Afonsky AA, Dyakonov VP. Electronic measurements in nanotechnologies and microelectronics. Moscow: DMK Press; 2011. 688 p. (In Russ.)Vasiliev IV. Features of measurement of specific and surface resistance by four-probe method. Vektor vysokikh tekhnologiy. 2020;2(47):8-14. (In Russ.)Vasiliev IV. Features of measurement of specific and surface resistance by four-probe method. Vektor vysokikh tekhnologiy. 2020;2(47):8-14. (In Russ.)Arakelyan SM, Bukharov DN, Istratov AV, Kutrovskaya SV, Kucherik AO, Osipov AV. Mathematical modeling and study of the electrical conductivity of island metal and semiconductor films. Dinamika slozhnykh sistem XXI vek. 2014;5:36-40. (In Russ.)Arakelyan SM, Bukharov DN, Istratov AV, Kutrovskaya SV, Kucherik AO, Osipov AV. Mathematical modeling and study of the electrical conductivity of island metal and semiconductor films. Dinamika slozhnykh sistem XXI vek. 2014;5:36-40. (In Russ.)Bukharov DN, Osipov AV, Arakelian SM, Kucherik AO. Graph-analytical model of the electrical conductivity of a semiconductor island plumbum telluride nanofilm. Journal of Physics: Conference Series. 2019; 1331:012008. DOI:10.1088/1742-6596/1331/1/012008Bukharov DN, Osipov AV, Arakelian SM, Kucherik AO. Graph-analytical model of the electrical conductivity of a semiconductor island plumbum telluride nanofilm. Journal of Physics: Conference Series. 2019; 1331:012008. DOI:10.1088/1742-6596/1331/1/012008Bukharov DN, Arakelyan SM, Istratov AV, Samyshkin VD. PbTe island film hopping electrical conductivity model. Journal of Physics: Conference Series. 2019;1189:012017. DOI:10.1088/1742-6596/1189/1/012017Bukharov DN, Arakelyan SM, Istratov AV, Samyshkin VD. PbTe island film hopping electrical conductivity model. Journal of Physics: Conference Series. 2019;1189:012017. DOI:10.1088/1742-6596/1189/1/012017Belko AV Nikitin AV, Skaskevich AA, Bachurina AYu, Sarosek SI. Models of fractal structures in composite systems based on polymers. Vestnik Grodnenskogo gosudarstvennogo universiteta imeni Yanki Kupaly. Seriya 2. Matematika. Fizika. Informatika, vychislitel′naya tekhnika i upravleniye. 2012;2:95-104. (In Russ.)Belko AV Nikitin AV, Skaskevich AA, Bachurina AYu, Sarosek SI. Models of fractal structures in composite systems based on polymers. Vestnik Grodnenskogo gosudarstvennogo universiteta imeni Yanki Kupaly. Seriya 2. Matematika. Fizika. Informatika, vychislitel′naya tekhnika i upravleniye. 2012;2:95-104. (In Russ.)Antipov AA, Arakelyan SM, Kutrovskaya SV, Kucherik AO, Nogtev DS, Osipov AV, Emelyanov VI, Zimin SP. Electrical conductivity of PbTe nanocluster structures with controlled topology: manifestation of macroscopic quantum effects. Izvestiya RAN. Seriya Fizicheskaya = Bulletin of the Russian Academy of Sciences: Physics. 2016;80(7):818-827. (In Russ.)Antipov AA, Arakelyan SM, Kutrovskaya SV, Kucherik AO, Nogtev DS, Osipov AV, Emelyanov VI, Zimin SP. Electrical conductivity of PbTe nanocluster structures with controlled topology: manifestation of macroscopic quantum effects. Izvestiya RAN. Seriya Fizicheskaya = Bulletin of the Russian Academy of Sciences: Physics. 2016;80(7):818-827. (In Russ.)Kavokin A, Kutrovskaya S, Kucherik A, Osipov A, Vartanyan T, Arakelian S. The crossover between tunnel and hopping conductivity in granulated films of noble metals. Superlattices and Microstructures. 2017;111:335-339. DOI:10.1016/j.spmi.2017.06.050Kavokin A, Kutrovskaya S, Kucherik A, Osipov A, Vartanyan T, Arakelian S. The crossover between tunnel and hopping conductivity in granulated films of noble metals. Superlattices and Microstructures. 2017;111:335-339. DOI:10.1016/j.spmi.2017.06.050Chuprov SS, Meleshevich KA, Bogolepov VA, Adeev VM, Shchur DV, Rudyk ND. Deposition of a layer of carbon nanotubes on the surface of reactor alloys. Nanosistemy, Nanomaterialy, Nanotekhnologii. 2012; 10(4):753-761.Chuprov SS, Meleshevich KA, Bogolepov VA, Adeev VM, Shchur DV, Rudyk ND. Deposition of a layer of carbon nanotubes on the surface of reactor alloys. Nanosistemy, Nanomaterialy, Nanotekhnologii. 2012; 10(4):753-761.Mahanta A, Sarmah H, Paul R, Choudhury G. Julia set and some of its properties. International Journal of Applied Mathematics & Statistical Sciences (IJAMSS). 2016;5(2):99-124.Mahanta A, Sarmah H, Paul R, Choudhury G. Julia set and some of its properties. International Journal of Applied Mathematics & Statistical Sciences (IJAMSS). 2016;5(2):99-124.Iudin DI, Koposov EV. Fractals: from simple to complex. Nizhny Novgorod: NNGASU; 2012. 200 p. (In Russ.).Iudin DI, Koposov EV. Fractals: from simple to complex. Nizhny Novgorod: NNGASU; 2012. 200 p. (In Russ.).Kutrovskaya S, Samyshkin V, Lelekova A, Povolotskiy A, Osipov A, Arakelian S, Kavokin A, Kucherik A. Field-induced assembly of sp-sp2 carbon sponges. Nanomaterials. 2021;11(3):763. DOI:10.3390/nano11030763Kutrovskaya S, Samyshkin V, Lelekova A, Povolotskiy A, Osipov A, Arakelian S, Kavokin A, Kucherik A. Field-induced assembly of sp-sp2 carbon sponges. Nanomaterials. 2021;11(3):763. DOI:10.3390/nano11030763Osipov A, Kucherik A, Kutrovskaya S, Istratov A, Samyshkin V, Skryabin I, Novodvorskiy O, Arakelian S. The modeling of the light sensitive titanium dioxide microrolls doped by noble metal nanoparticles. Journal of Physics: Conference Series. 2019;1331(1):012024(1-5). DOI:10.1088/1742-6596/1331/1/012024Osipov A, Kucherik A, Kutrovskaya S, Istratov A, Samyshkin V, Skryabin I, Novodvorskiy O, Arakelian S. The modeling of the light sensitive titanium dioxide microrolls doped by noble metal nanoparticles. Journal of Physics: Conference Series. 2019;1331(1):012024(1-5). DOI:10.1088/1742-6596/1331/1/012024Berghoff D, Bühler J, Bonn M. Low-field onset of Wannier-Stark localization in a polycrystalline hybrid organic inorganic perovskite. Nature Communications. 2021;12:5719. DOI:10.1038/s41467-021-26021-4Berghoff D, Bühler J, Bonn M. Low-field onset of Wannier-Stark localization in a polycrystalline hybrid organic inorganic perovskite. Nature Communications. 2021;12:5719. DOI:10.1038/s41467-021-26021-4Khudaiberganov T, Arakelian S, Kutrovskaya S, Kucherik A, Chestnov I. Spatial confinement of the optical Tamm states under patterned metal films. Journal of Physics: Conference Series. 2019;1164:012008(1-5). DOI:10.1088/1742-6596/1164/1/012008Khudaiberganov T, Arakelian S, Kutrovskaya S, Kucherik A, Chestnov I. Spatial confinement of the optical Tamm states under patterned metal films. Journal of Physics: Conference Series. 2019;1164:012008(1-5). DOI:10.1088/1742-6596/1164/1/012008Khudaiberganov T, Chestnov I, Arakelian S. Quantum statistics of light emitted from a pillar microcavity. Applied Physics B. 2022;128:117. DOI:10.1007/s00340-022-07835-6Khudaiberganov T, Chestnov I, Arakelian S. Quantum statistics of light emitted from a pillar microcavity. Applied Physics B. 2022;128:117. DOI:10.1007/s00340-022-07835-6Onari S, Kontani H. Nematic. Order in twisted bilayer graphene by valley + spin fluctuation interference mechanism. strongly correlated electrons. Physical Review Letters. 2022;128:066401. DOI:10.1103/PhysRevLett.128.066401Onari S, Kontani H. Nematic. Order in twisted bilayer graphene by valley + spin fluctuation interference mechanism. strongly correlated electrons. Physical Review Letters. 2022;128:066401. DOI:10.1103/PhysRevLett.128.066401Onari S, Kontani H. SU(4)valley+spin fluctuation interference mechanism for nematic order in magic-angle twisted bilayer graphene: the impact of vertex corrections. Physical Review Letters. 2022;11.128(6):066401. DOI:10.1103/PhysRevLett.128.066401Onari S, Kontani H. SU(4)valley+spin fluctuation interference mechanism for nematic order in magic-angle twisted bilayer graphene: the impact of vertex corrections. Physical Review Letters. 2022;11.128(6):066401. DOI:10.1103/PhysRevLett.128.066401Pan B, Xiao J, Li J, Liu P, Wang C, Yang G. Carbyne with finite length: The one-dimensional sp carbon. Science Advances. 2015;1(9):e1500857-e1500857. DOI:10.1126/sciadv.1500857Pan B, Xiao J, Li J, Liu P, Wang C, Yang G. Carbyne with finite length: The one-dimensional sp carbon. Science Advances. 2015;1(9):e1500857-e1500857. DOI:10.1126/sciadv.1500857Arakelian S, Chestnov I, Istratov A, Khudaiberganov T, Butkovskiy O. Nonlinear dynamic modeling for high temperature superconductivity in nanocluster topological structures on solid surface (New Trends in Nonlinear Dynamics. Proceedings of the First International Nonlinear Dynamics. Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019) Springer, Cham 3. 2020;121-130.Arakelian S, Chestnov I, Istratov A, Khudaiberganov T, Butkovskiy O. Nonlinear dynamic modeling for high temperature superconductivity in nanocluster topological structures on solid surface (New Trends in Nonlinear Dynamics. Proceedings of the First International Nonlinear Dynamics. Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019) Springer, Cham 3. 2020;121-130.Samyshkin V, Lelekova A, Osipov A, Bukharov D, Skryabin I, Arakelian S, Kucherik A, Kutrovskaya S. Photosensitive free standing ultra thin carbine-gold films. Optical and Quantum Electronics. 2019;51(12):394(1-9). DOI:10.48550/arXiv.1910.11008Samyshkin V, Lelekova A, Osipov A, Bukharov D, Skryabin I, Arakelian S, Kucherik A, Kutrovskaya S. Photosensitive free standing ultra thin carbine-gold films. Optical and Quantum Electronics. 2019;51(12):394(1-9). DOI:10.48550/arXiv.1910.11008Memetova A, Tyagi I, Karri RR, Singh P, Goscianska J, Memetov N, Zelenin A, Gerasimova A, Tkachev A, Babkin A, Shuklinov A, Dehghani MH, Agarwal S. Synthesis of carbon energized materials with directed regulation of specific surface and pore structure as potential adsorbent for methane mitigation. Journal of Environmental Chemical Engineering. 2022;10(6):108929. DOI: 10.1016/j.jece.2022.108929Memetova A, Tyagi I, Karri RR, Singh P, Goscianska J, Memetov N, Zelenin A, Gerasimova A, Tkachev A, Babkin A, Shuklinov A, Dehghani MH, Agarwal S. Synthesis of carbon energized materials with directed regulation of specific surface and pore structure as potential adsorbent for methane mitigation. Journal of Environmental Chemical Engineering. 2022;10(6):108929. DOI: 10.1016/j.jece.2022.108929Vasilets V, Shulga Y, Kabachkov E, Melezhik A, Tkachev A. Photooxidative resistance of polytetrafluoroethylene–graphene nanocomposites to vacuum ultraviolet radiation. High Energy Chemistry. 2021;55:280-284. DOI:10.1134/S0018143921040147Vasilets V, Shulga Y, Kabachkov E, Melezhik A, Tkachev A. Photooxidative resistance of polytetrafluoroethylene–graphene nanocomposites to vacuum ultraviolet radiation. High Energy Chemistry. 2021;55:280-284. DOI:10.1134/S0018143921040147Fomkin AA, Pribylov AA, Shkolin AV, Men’shchikov IE, Pulin AL, Zhedulov SA, Tkachev AG, Memetov NR, Melezhik AV, Kucherova AE, Shubin IN. Methane adsorption in microporous carbon adsorbent with a bimodal pore size distribution. Protection of Metals and Physical Chemistry of Surfaces. 2020;56:1-5. DOI:10.1134/S2070205120010074Fomkin AA, Pribylov AA, Shkolin AV, Men’shchikov IE, Pulin AL, Zhedulov SA, Tkachev AG, Memetov NR, Melezhik AV, Kucherova AE, Shubin IN. Methane adsorption in microporous carbon adsorbent with a bimodal pore size distribution. Protection of Metals and Physical Chemistry of Surfaces. 2020;56:1-5. DOI:10.1134/S2070205120010074Goncharova IS, Polunin IA, Polunin KE, Buryak AK. Synthesis and sorption properties of metal-carbon sorbent based on shungite modified with silver. Sorbtsionnye i khromatograficheskie protsessy. 2018; 18(5):659-667. DOI:10.17308/sorpchrom.2018.18/592. (In Russ.)Goncharova IS, Polunin IA, Polunin KE, Buryak AK. Synthesis and sorption properties of metal-carbon sorbent based on shungite modified with silver. Sorbtsionnye i khromatograficheskie protsessy. 2018; 18(5):659-667. DOI:10.17308/sorpchrom.2018.18/592. (In Russ.)Ali I, Basheer A A, Kucherova A, Memetov N, Pasko T, Ovchinnikov K, Pershin V, Kuznetsov D, Galunin E, Grachev V, Tkachev A. Advances in carbon nanomaterials as lubricants modifiers. Journal of Molecular Liquids. 2019;279:251-266. DOI:10.1016/j.molliq.2019.01.113Ali I, Basheer A A, Kucherova A, Memetov N, Pasko T, Ovchinnikov K, Pershin V, Kuznetsov D, Galunin E, Grachev V, Tkachev A. Advances in carbon nanomaterials as lubricants modifiers. Journal of Molecular Liquids. 2019;279:251-266. DOI:10.1016/j.molliq.2019.01.113Burakova IV, Troshkina ID, Burakov AE, Zhukova OA, Wei MA, Neskoromnaya EA, Tkachev AG. Nanomodified activated carbons for removal of scandium and cerium ions from sulphate solutions. Perspektivnye Materialy = Inorganic Materials: Applied Research. 2019;9:44-53. DOI:10.30791/1028-978x-2019-9-44-53Burakova IV, Troshkina ID, Burakov AE, Zhukova OA, Wei MA, Neskoromnaya EA, Tkachev AG. Nanomodified activated carbons for removal of scandium and cerium ions from sulphate solutions. Perspektivnye Materialy = Inorganic Materials: Applied Research. 2019;9:44-53. DOI:10.30791/1028-978x-2019-9-44-53Burakova IV, Burakov AE, Tkachev AG, Troshkina ID, Veselova OA, Babkin AV, Wei MA, Ali I. Kinetics of the adsorption of scandium and cerium ions in sulfuric acid solutions on a nanomodified activated carbon. Journal of Molecular Liquids. 2018;253:277-283. DOI:10.1016/j.molliq.2018.01.063Burakova IV, Burakov AE, Tkachev AG, Troshkina ID, Veselova OA, Babkin AV, Wei MA, Ali I. Kinetics of the adsorption of scandium and cerium ions in sulfuric acid solutions on a nanomodified activated carbon. Journal of Molecular Liquids. 2018;253:277-283. DOI:10.1016/j.molliq.2018.01.063Jianjun Y, Shiqiu L, Qing L, Xikai W, Zhigang G, Yuqing Z, Xiaomeng W, Jian S, Xianhui C. Record-highTc elemental superconductivity in scandium. Physical Review Letters. 2023;130:256002. DOI:10.1103/PhysRevLett.130.256002Jianjun Y, Shiqiu L, Qing L, Xikai W, Zhigang G, Yuqing Z, Xiaomeng W, Jian S, Xianhui C. Record-highTc elemental superconductivity in scandium. Physical Review Letters. 2023;130:256002. DOI:10.1103/PhysRevLett.130.256002Ferini G, Baratta G, Palumbo ME. A Raman study of ion irradiated icy mixtures. Astronomy & Astrophysics. 2004;414:757-766. DOI:10.1051/0004-6361:20031641Ferini G, Baratta G, Palumbo ME. A Raman study of ion irradiated icy mixtures. Astronomy & Astrophysics. 2004;414:757-766. DOI:10.1051/0004-6361:20031641Lozovik YE, Popov AM. Formation and growth of carbon nanostructures – fullerenes, nanoparticles, nanotubes and cones. Physics-Uspekhi. 1997;40(7):717-737. DOI:10.1070/PU1997v040n07ABEH000253Lozovik YE, Popov AM. Formation and growth of carbon nanostructures – fullerenes, nanoparticles, nanotubes and cones. Physics-Uspekhi. 1997;40(7):717-737. DOI:10.1070/PU1997v040n07ABEH000253Faoro L, Feigel’man MV, Ioffe L. Non-ergodic extended phase of the Quantum Random Energy model. Annals of Physics. 2019;409(8):167916. DOI:10.1016/j.aop.2019.167916Faoro L, Feigel’man MV, Ioffe L. Non-ergodic extended phase of the Quantum Random Energy model. Annals of Physics. 2019;409(8):167916. DOI:10.1016/j.aop.2019.167916Punnoose A, Finkel'stein AM. Metal-insulator transition in disordered two-dimensional electron systems. Science. 2005;310(5746):289-291. DOI:10.1126/science.1115660Punnoose A, Finkel'stein AM. Metal-insulator transition in disordered two-dimensional electron systems. Science. 2005;310(5746):289-291. DOI:10.1126/science.1115660Yugay KN. Topological superconductivity of nanostructures. Vestnik OmGU. 2013;2(68):104-107. (In Russ.)Yugay KN. Topological superconductivity of nanostructures. Vestnik OmGU. 2013;2(68):104-107. (In Russ.)Wu H, Wang Y, Xu Y, Sivakumar P, Pasco C, Filippozzi U, Parkin S, Zeng Y, McQueen T, Ali M. The field-free Josephson diode in a van der Waals heterostructure. Nature. 2022;604:653-656. DOI:10.1038/s41586-022-04504-8Wu H, Wang Y, Xu Y, Sivakumar P, Pasco C, Filippozzi U, Parkin S, Zeng Y, McQueen T, Ali M. The field-free Josephson diode in a van der Waals heterostructure. Nature. 2022;604:653-656. DOI:10.1038/s41586-022-04504-8Kang M, Fang S, Kim J, Ortiz B, Ryu S, Kim J, Yoo J, Sangiovanni G, Di Sante D, Park B, Jozwiak C, Bostwick A, Rotenberg E, Kaxiras E, Wilson S, Park J, Comin R. Twofold van hove singularity and origin of charge order in topological kagome superconductor CsV3Sb5. Nature Physics. 2022:18:301-308. DOI:10.1038/s41567-021-01451-5Kang M, Fang S, Kim J, Ortiz B, Ryu S, Kim J, Yoo J, Sangiovanni G, Di Sante D, Park B, Jozwiak C, Bostwick A, Rotenberg E, Kaxiras E, Wilson S, Park J, Comin R. Twofold van hove singularity and origin of charge order in topological kagome superconductor CsV3Sb5. Nature Physics. 2022:18:301-308. DOI:10.1038/s41567-021-01451-5Arakelian S, Bukharov D, Emel'yanov V, Zimin S, Kutrovskaya S, Kucherik A, Makarov A, Osipov A. Laser nanostructuring of the PbX thin films for creation of the semiconductor devices with controlled properties. Physics Procedia. 2014;56:1115-1125. DOI:10.1016/j.phpro.2014.08.026Arakelian S, Bukharov D, Emel'yanov V, Zimin S, Kutrovskaya S, Kucherik A, Makarov A, Osipov A. Laser nanostructuring of the PbX thin films for creation of the semiconductor devices with controlled properties. Physics Procedia. 2014;56:1115-1125. DOI:10.1016/j.phpro.2014.08.026Römer GRBE, Huisin't Veld AJ. Matlab laser toolbox. Physics Procedia. 2010;5:413-419. DOI:10.1016/j.phpro.2010.08.068Römer GRBE, Huisin't Veld AJ. Matlab laser toolbox. Physics Procedia. 2010;5:413-419. DOI:10.1016/j.phpro.2010.08.068Kashtanov PV. Nanoclusters: properties and processes. Teplofizika Vysokikh Temperatur = High Temperature. 2010;48(6):886-900. (In Russ.)Kashtanov PV. Nanoclusters: properties and processes. Teplofizika Vysokikh Temperatur = High Temperature. 2010;48(6):886-900. (In Russ.)Eliseev AA, Lukashin AV. Functional nanomaterials. Moscow: Fizmatlit; 2010. 456 p. (In Russ.).Eliseev AA, Lukashin AV. Functional nanomaterials. Moscow: Fizmatlit; 2010. 456 p. (In Russ.).Rempel AA. Nanotechnologies. Properties and applications of nanostructured materials. Russian Chemical Reviews. 2007;76(5):435-461. DOI:10.1070/RC2007v076n05ABEH003674Rempel AA. Nanotechnologies. Properties and applications of nanostructured materials. Russian Chemical Reviews. 2007;76(5):435-461. DOI:10.1070/RC2007v076n05ABEH003674Phan HT, Haes AJ. What Does Nanoparticle Stability Mean? The Journal of Physical Chemistry C. 2019;123(27):16495-16507. DOI:10.1021/acs.jpcc.9b00913Phan HT, Haes AJ. What Does Nanoparticle Stability Mean? The Journal of Physical Chemistry C. 2019;123(27):16495-16507. DOI:10.1021/acs.jpcc.9b00913Roduner E. Dimensional effects in nanomaterials. Moscow: Technosphere; 2010. 368 p. (In Russ.).Roduner E. Dimensional effects in nanomaterials. Moscow: Technosphere; 2010. 368 p. (In Russ.).Suzdalev IP, Buravtsev VN, Maksimov YuV, Imshennik VK, Novichikhin SV, Matveev VV, Plachind AS. Size effects and intercluster interactions in nanosystems. Poluprovodnikovaya Svetotekhnika = Russian Journal of General Chemistry. 2001;XLV(3):66-73. (In Russ.)Suzdalev IP, Buravtsev VN, Maksimov YuV, Imshennik VK, Novichikhin SV, Matveev VV, Plachind AS. Size effects and intercluster interactions in nanosystems. Poluprovodnikovaya Svetotekhnika = Russian Journal of General Chemistry. 2001;XLV(3):66-73. (In Russ.)Dunyushkina LA. Introduction to methods for obtaining film electrolytes for solid oxide fuel cells. Monograph: Yekaterinburg; URO RAN. 2015. 126 p. (In Russ.)Dunyushkina LA. Introduction to methods for obtaining film electrolytes for solid oxide fuel cells. Monograph: Yekaterinburg; URO RAN. 2015. 126 p. (In Russ.)Dubrovskiy VG, Tsyrlin GE. Growth kinetics of thin films under the germ mechanism of layer formation. Fizika i tekhnika poluprovodnikov = Semiconductors. 2005; 39(11):1312-1319. (In Russ.)Dubrovskiy VG, Tsyrlin GE. Growth kinetics of thin films under the germ mechanism of layer formation. Fizika i tekhnika poluprovodnikov = Semiconductors. 2005; 39(11):1312-1319. (In Russ.)Hassa G. Physics of Thin Films: Volume 3. Moscow: Book on Demand; 2012. 331 p. (In Russ.)Hassa G. Physics of Thin Films: Volume 3. Moscow: Book on Demand; 2012. 331 p. (In Russ.)Sidorova SV, Yurchenko PI. Investigation of the formation of island nanostructures in vacuum. Nanoi Mikrosistemnaya Tekhnika. 2011;5:9-11. (In Russ.)Sidorova SV, Yurchenko PI. Investigation of the formation of island nanostructures in vacuum. Nanoi Mikrosistemnaya Tekhnika. 2011;5:9-11. (In Russ.)Freik DM, Yurchyshyn IK, Lysyuk YuV. Quantum size effects in nanostructures and problems of thermoelectricity. Termoelektrichestvo = Journal of Thermoelectricity. 2012;2:5-30. (In Russ.)Freik DM, Yurchyshyn IK, Lysyuk YuV. Quantum size effects in nanostructures and problems of thermoelectricity. Termoelektrichestvo = Journal of Thermoelectricity. 2012;2:5-30. (In Russ.)Fedorov AV. Optics of nanostructures. St. Petersburg: Nedra; 2005. 181 p. (In Russ.)Fedorov AV. Optics of nanostructures. St. Petersburg: Nedra; 2005. 181 p. (In Russ.)Kulbachinsky VA. Semiconductor quantum dots. Sorosovskiy obrazovatel′nyy zhurnal. 2001;4:98-104. (In Russ.)Kulbachinsky VA. Semiconductor quantum dots. Sorosovskiy obrazovatel′nyy zhurnal. 2001;4:98-104. (In Russ.)Laucht A, Hofbauer F, Hauke N, Angele J, Stobbe S, Kaniber M, Böhm G, Lodahl P, Amann M-C, Finley J. Electrical control of spontaneous emission and strong coupling for a single quantum dot. New Journal of Physics. 2009;11:023034. DOI:10.1088/1367-2630/11/2/023034Laucht A, Hofbauer F, Hauke N, Angele J, Stobbe S, Kaniber M, Böhm G, Lodahl P, Amann M-C, Finley J. Electrical control of spontaneous emission and strong coupling for a single quantum dot. New Journal of Physics. 2009;11:023034. DOI:10.1088/1367-2630/11/2/023034Sarkar DK, Zhou XJ, Tannous A, Louie M, Leung KT. Growth of self-assembled copper nanostructure on conducting polymer by electrodeposition. Solid State Communications. 2003;125:365-368. DOI:10.1016/S0038-1098(02)00883-9Sarkar DK, Zhou XJ, Tannous A, Louie M, Leung KT. Growth of self-assembled copper nanostructure on conducting polymer by electrodeposition. Solid State Communications. 2003;125:365-368. DOI:10.1016/S0038-1098(02)00883-9Gribachev VV. Nanosensors. Komponenty i tekhnologii. 2009;4:21-24. (In Russ.)Gribachev VV. Nanosensors. Komponenty i tekhnologii. 2009;4:21-24. (In Russ.)Agrawal AA, Batageri GW, Blackburn WH, Bhattacharya SS. Nanostructures in biomedicine. Moscow: BINOM. Knowledge Lab; 2012. 519 p. (In Russ.)Agrawal AA, Batageri GW, Blackburn WH, Bhattacharya SS. Nanostructures in biomedicine. Moscow: BINOM. Knowledge Lab; 2012. 519 p. (In Russ.)Kryzhanovskaya NV, Maksimov MV, Zhukov AE. Lasers based on quantum dots and microcavities with whispering gallery modes. Kvantovaya elektronika = Quantum Electronics. 2014;44(3):189-200. (In Russ.)Kryzhanovskaya NV, Maksimov MV, Zhukov AE. Lasers based on quantum dots and microcavities with whispering gallery modes. Kvantovaya elektronika = Quantum Electronics. 2014;44(3):189-200. (In Russ.)Karachinsky L, Novikov I, Babichev A, Gladyshev A, Kolodeznyi E, Rochas S, Kurochkin A, Bobretsova Y, Klimov A, Denisov D, Voropaev K, Ionov A, Bougrov V, Egorov A. Optical gain in laser heterostructures with an active area based on an InGaAs/InGaAlAs superlattice. Optics and Spectroscopy. 2019;127:1053-1056. DOI:10.1134/S0030400X19120099Karachinsky L, Novikov I, Babichev A, Gladyshev A, Kolodeznyi E, Rochas S, Kurochkin A, Bobretsova Y, Klimov A, Denisov D, Voropaev K, Ionov A, Bougrov V, Egorov A. Optical gain in laser heterostructures with an active area based on an InGaAs/InGaAlAs superlattice. Optics and Spectroscopy. 2019;127:1053-1056. DOI:10.1134/S0030400X19120099Slipchenko SO, Vinokurov DA, Pikhtin NA, Sokolova ZN, Stankevich AL, Tarasov IS, Alferov JI. Ultra-low internal optical losses in separate-confinement quantum-well laser heterostructures. Fizika i tekhnika poluprovodnikov = Semiconductors. 2004;38(12):1477-1486. (In Russ.)Slipchenko SO, Vinokurov DA, Pikhtin NA, Sokolova ZN, Stankevich AL, Tarasov IS, Alferov JI. Ultra-low internal optical losses in separate-confinement quantum-well laser heterostructures. Fizika i tekhnika poluprovodnikov = Semiconductors. 2004;38(12):1477-1486. (In Russ.)Aseev AL. Nanomaterials and nanotechnologies for modern semiconductor electronics. Rossiyskiye nanotekhnologii = Nanobiotechnology Reports. 2006;1-2: 97-110. (In Russ.)Aseev AL. Nanomaterials and nanotechnologies for modern semiconductor electronics. Rossiyskiye nanotekhnologii = Nanobiotechnology Reports. 2006;1-2: 97-110. (In Russ.)Krevchik VD. Quantum size effect and quantum tunneling with dissipation as the basis of ideas of modern nanoelectronics. Part I. Classical and quantum size effects. Inzhiniring i tekhnologii. 2016;1(1):1-18. (In Russ.)Krevchik VD. Quantum size effect and quantum tunneling with dissipation as the basis of ideas of modern nanoelectronics. Part I. Classical and quantum size effects. Inzhiniring i tekhnologii. 2016;1(1):1-18. (In Russ.)Kruglyak YuA. Nanotransistor Physics: 2D MOS electrostatics and virtual source model. Nanosistemy. Nanomaterialy, Nanotekhnologii. 2018;16(4):599-631. (In Russ.)Kruglyak YuA. Nanotransistor Physics: 2D MOS electrostatics and virtual source model. Nanosistemy. Nanomaterialy, Nanotekhnologii. 2018;16(4):599-631. (In Russ.)Chuprov SS, Meleshevich KA, Bogolepov VA, Adeev VM, Shchur DV, Rudyk ND. Deposition of a layer of carbon nanotubes on the surface of reactor alloys. Nanosistemy. Nanomaterialy, Nanotekhnologii. 2012;10(4):753-761. (In Russ.)Chuprov SS, Meleshevich KA, Bogolepov VA, Adeev VM, Shchur DV, Rudyk ND. Deposition of a layer of carbon nanotubes on the surface of reactor alloys. Nanosistemy. Nanomaterialy, Nanotekhnologii. 2012;10(4):753-761. (In Russ.)Ilyichev EA, Nabiev RM, Petrukhin GN, Rychkov GS, Kuleshov AE, Migunov DM. Carbon materials in electronics: status and problems. Izvestiya vysshikh uchebnykh zavedeniy. Elektronika = Russian Microelectronics. 2011;5(91):18-35. (In Russ.)Ilyichev EA, Nabiev RM, Petrukhin GN, Rychkov GS, Kuleshov AE, Migunov DM. Carbon materials in electronics: status and problems. Izvestiya vysshikh uchebnykh zavedeniy. Elektronika = Russian Microelectronics. 2011;5(91):18-35. (In Russ.)Lysenko IE, Ezhova OA. Development and study of the design of a micromechanical linear acceleration sensor. Izvestiya Yuzhnogo federal′nogo universiteta. Tekhnicheskiye nauki. 2013:223-232. (In Russ.)Lysenko IE, Ezhova OA. Development and study of the design of a micromechanical linear acceleration sensor. Izvestiya Yuzhnogo federal′nogo universiteta. Tekhnicheskiye nauki. 2013:223-232. (In Russ.)Achildiev VM, Gruzevich YuK, Soldatenkov VA. Information measuring and optoelectronic systems based on microand nanomechanical sensors of angular velocity and linear acceleration. Moscow: Bauman MGTU Publ. House; 2016. 260 p. (In Russ.)Achildiev VM, Gruzevich YuK, Soldatenkov VA. Information measuring and optoelectronic systems based on microand nanomechanical sensors of angular velocity and linear acceleration. Moscow: Bauman MGTU Publ. House; 2016. 260 p. (In Russ.)Cao G. Nanostructures and nanomaterials: Synthesis, Properties and Applications. London: World Scientific Publishing; 2011. 581 p. (In Russ.)Cao G. Nanostructures and nanomaterials: Synthesis, Properties and Applications. London: World Scientific Publishing; 2011. 581 p. (In Russ.)Gulyakovich GN, Severtsev VN, Shurchkov IO. Prospects and problems of semiconductor nanoelectronics. Inzhenernyy vestnik Dona. 2012;2(20):315-319. (In Russ.)Gulyakovich GN, Severtsev VN, Shurchkov IO. Prospects and problems of semiconductor nanoelectronics. Inzhenernyy vestnik Dona. 2012;2(20):315-319. (In Russ.)John R, Vermesan O, Ottella M, Perlo P. Nanoelectronics: Key Enabler for Energy Efficient Electrical Vehicles. In: Advanced Microsystems for Automotive Applications. Berlin: Springer; 2009. p. 13-24. DOI:10.1007/978-3-642-00745-3_2John R, Vermesan O, Ottella M, Perlo P. Nanoelectronics: Key Enabler for Energy Efficient Electrical Vehicles. In: Advanced Microsystems for Automotive Applications. Berlin: Springer; 2009. p. 13-24. DOI:10.1007/978-3-642-00745-3_2Turkin AA. Semiconductor LEDs: history, facts, prospects. Poluprovodnikovaya Svetotekhnika. 2011;5:28-33. (In Russ.)Turkin AA. Semiconductor LEDs: history, facts, prospects. Poluprovodnikovaya Svetotekhnika. 2011;5:28-33. (In Russ.)Dalvinder SG. Present and future nanoelectronics devices-an analytical study. Research & Development in Material Science. 2018;8(4):925-930. DOI:10.31031/RDMS.2018.08.000693Dalvinder SG. Present and future nanoelectronics devices-an analytical study. Research & Development in Material Science. 2018;8(4):925-930. DOI:10.31031/RDMS.2018.08.000693Alferov ZhI, Aseev AL, Gaponov SV, Kopiev PS, Panov VI, Poltoratsky EA, Sibeldin NN, Suris RA. Nanomaterials and nanotechnologies. Mikrosistemnaya tekhnika. 2003;8:3-13. (In Russ.)Alferov ZhI, Aseev AL, Gaponov SV, Kopiev PS, Panov VI, Poltoratsky EA, Sibeldin NN, Suris RA. Nanomaterials and nanotechnologies. Mikrosistemnaya tekhnika. 2003;8:3-13. (In Russ.)Moiseev SA, Andrianov SN, Moiseev ES. Quantum computer in the scheme of an atomic quantum transistor with logical coding of qubits. Optika i spektroskopiya = Optics and Spectroscopy. 2013;115(3):406-414. (In Russ.)Moiseev SA, Andrianov SN, Moiseev ES. Quantum computer in the scheme of an atomic quantum transistor with logical coding of qubits. Optika i spektroskopiya = Optics and Spectroscopy. 2013;115(3):406-414. (In Russ.)Loktev DD, Yamashkin EE. Methods and equipment for applying wear-resistant coatings. Nanoindustriya. 2007;4:18-24. (In Russ.)Loktev DD, Yamashkin EE. Methods and equipment for applying wear-resistant coatings. Nanoindustriya. 2007;4:18-24. (In Russ.)Popescu C, Dorcioman G, Popescu A. Laser ablation applied for synthesis of thin films: insights into laser deposition methods. In: Applications of laser ablation – thin film deposition, nanomaterial synthesis and surface modification. IntechOpen; 2016. 426 р. DOI:10.5772/65124Popescu C, Dorcioman G, Popescu A. Laser ablation applied for synthesis of thin films: insights into laser deposition methods. In: Applications of laser ablation – thin film deposition, nanomaterial synthesis and surface modification. IntechOpen; 2016. 426 р. DOI:10.5772/65124Zuev DA, Lotin AA, Novodvorsky OA, Lebedev FV, Khramova OD, Petukhov IA, Putilin FN, Shatokhin AN, Rumyantseva MN, Gaskov AM. Pulsed laser deposition of ITO thin films and their characteristics. Fizika i tekhnika poluprovodnikov = Semiconductors. 2012;46(3):425-429. (In Russ.)Zuev DA, Lotin AA, Novodvorsky OA, Lebedev FV, Khramova OD, Petukhov IA, Putilin FN, Shatokhin AN, Rumyantseva MN, Gaskov AM. Pulsed laser deposition of ITO thin films and their characteristics. Fizika i tekhnika poluprovodnikov = Semiconductors. 2012;46(3):425-429. (In Russ.)Eroshova OI, Perminov PA, Zabotnov SV, Gongalsky MB, Ezhov AA, Golovan LA, Kashkarov PK. Structural properties of silicon nanoparticles fabricated by pulsed laser ablation in liquid media. Kristallografiya = Crystallography Reports. 2012;57(6):942-947. (In Russ.)Eroshova OI, Perminov PA, Zabotnov SV, Gongalsky MB, Ezhov AA, Golovan LA, Kashkarov PK. Structural properties of silicon nanoparticles fabricated by pulsed laser ablation in liquid media. Kristallografiya = Crystallography Reports. 2012;57(6):942-947. (In Russ.)Domke M, Nobile L, Rapp S, Eiselen S, Sotrop J, Huber HP, Schmidt M. Understanding thin film laser ablation: the role of the effective penetration depth and the film thickness. Physics Procedia. 2014;56:1007-1014. DOI:10.1016/j.phpro.2014.08.012Domke M, Nobile L, Rapp S, Eiselen S, Sotrop J, Huber HP, Schmidt M. Understanding thin film laser ablation: the role of the effective penetration depth and the film thickness. Physics Procedia. 2014;56:1007-1014. DOI:10.1016/j.phpro.2014.08.012Samarsky AA, Mikhailov AP. Mathematical modeling: Ideas. Methods. Examples. Moscow: Fizmatlit; 2005. 320 p. (In Russ.)Samarsky AA, Mikhailov AP. Mathematical modeling: Ideas. Methods. Examples. Moscow: Fizmatlit; 2005. 320 p. (In Russ.)Smirnov VA, Korolev EV, Evstigneev AV. Modeling and numerical analysis tools in nanotechnology and materials science: a review. Nano tekhnologii v stroitel′stve. 2014; 6(5):34-58. (In Russ.)Smirnov VA, Korolev EV, Evstigneev AV. Modeling and numerical analysis tools in nanotechnology and materials science: a review. Nano tekhnologii v stroitel′stve. 2014; 6(5):34-58. (In Russ.)Fedotov AYu. Modeling of formation processes and properties of nanostructures and nanofilms formed in a gas medium. Khimicheskaya fizika i mezoskopiya. 2017;19(2):230-249. (In Russ.)Fedotov AYu. Modeling of formation processes and properties of nanostructures and nanofilms formed in a gas medium. Khimicheskaya fizika i mezoskopiya. 2017;19(2):230-249. (In Russ.)Wang J, Karihaloo B, Duan H, Huang Z. Importance of surface/interface effect to properties of materials at nano-scale. Solid Mechanics and Its Applications. 2006;135:227-234. DOI:10.1007/1-4020-4566-2_26Wang J, Karihaloo B, Duan H, Huang Z. Importance of surface/interface effect to properties of materials at nano-scale. Solid Mechanics and Its Applications. 2006;135:227-234. DOI:10.1007/1-4020-4566-2_26Zinchenko LA, Shakhnov VA. Peculiarities of mathematical modeling in nanosystem design problems. Nanotekhnologii. Informatsionnyye tekhnologii i vychislitel′nyye sistemy. 2009;4:84-92. (In Russ.)Zinchenko LA, Shakhnov VA. Peculiarities of mathematical modeling in nanosystem design problems. Nanotekhnologii. Informatsionnyye tekhnologii i vychislitel′nyye sistemy. 2009;4:84-92. (In Russ.)Rieth M. Schommers W. Handbook of Theoretical and Computational Nanotechnology. Philippe: American Scientific Publishers; 2006. 623 p.Rieth M. Schommers W. Handbook of Theoretical and Computational Nanotechnology. Philippe: American Scientific Publishers; 2006. 623 p.Kabaldin YG. Information model of assembly of nanostructures. Trudy Nizhegorodskogo gosudarstvennogo tekhnicheskogo universiteta im. R.E. Alekseyeva. 2010;3(100):90-99. (In Russ.)Kabaldin YG. Information model of assembly of nanostructures. Trudy Nizhegorodskogo gosudarstvennogo tekhnicheskogo universiteta im. R.E. Alekseyeva. 2010;3(100):90-99. (In Russ.)Tapilin VM. A new approach to the correlation gap: the value of the interelectrode interaction potential as a variable in solving the many-particle schrödinger equation. Zhurnal strukturnoy khimii = Journal of Structural Chemistry. 2008;49(3):407-414. (In Russ.)Tapilin VM. A new approach to the correlation gap: the value of the interelectrode interaction potential as a variable in solving the many-particle schrödinger equation. Zhurnal strukturnoy khimii = Journal of Structural Chemistry. 2008;49(3):407-414. (In Russ.)Kholmurodov HT, Altai MV, Puzyrin IV, Dardin TA, Filatov FP. Molecular dynamics methods for modeling physical and biological processes. Fizika elementarnykh chastits i atomnogo yadra = Physics of Particles and Nuclei. 2003;34:2. (In Russ.)Kholmurodov HT, Altai MV, Puzyrin IV, Dardin TA, Filatov FP. Molecular dynamics methods for modeling physical and biological processes. Fizika elementarnykh chastits i atomnogo yadra = Physics of Particles and Nuclei. 2003;34:2. (In Russ.)Shilov MA, Veselov VV. Computer modeling of molecular systems by the method of molecular dynamics. Ivanovo: IGTA; 2010.168 p. (In Russ.)Shilov MA, Veselov VV. Computer modeling of molecular systems by the method of molecular dynamics. Ivanovo: IGTA; 2010.168 p. (In Russ.)Grishko MS, Beznosyuk SA, Zhukovsky MS, Zhukovskaya TM. Monte Carlo computer simulation of the formation of nickel clusters in nanopores of materials. Izvestiya Altayskogo gosudarstvennogo universiteta. 2007;3:71-75. (In Russ.)Grishko MS, Beznosyuk SA, Zhukovsky MS, Zhukovskaya TM. Monte Carlo computer simulation of the formation of nickel clusters in nanopores of materials. Izvestiya Altayskogo gosudarstvennogo universiteta. 2007;3:71-75. (In Russ.)Kolesnikov SV, Saletsky AM, Dokukin SA, Klavsyuk AL. Kinetic Monte Carlo method: mathematical foundations and applications to the physics of lowdimensional nanostructures. Matematicheskoye modelirovaniye = Mathematical Models and Computer Simulations. 2018;30(2):48-80. (In Russ.)Kolesnikov SV, Saletsky AM, Dokukin SA, Klavsyuk AL. Kinetic Monte Carlo method: mathematical foundations and applications to the physics of lowdimensional nanostructures. Matematicheskoye modelirovaniye = Mathematical Models and Computer Simulations. 2018;30(2):48-80. (In Russ.)Nastovyak AG, Usenkova NL, Schwartz IG, Neizvestny IG. Features of the realization of the crystallization process in the Monte Carlo simulation of the growth of nanowiskers. Izvestiya vuzov. Fizika = Russian Physics Journal. 2009; 52(11):52-57. (In Russ.)Nastovyak AG, Usenkova NL, Schwartz IG, Neizvestny IG. Features of the realization of the crystallization process in the Monte Carlo simulation of the growth of nanowiskers. Izvestiya vuzov. Fizika = Russian Physics Journal. 2009; 52(11):52-57. (In Russ.)Suzdalev IP. Nanotechnology: Physical chemistry of nanoclusters, nanostructures and nanomaterials. Moscow: URSS; 2008. 589 p. (In Russ.)Suzdalev IP. Nanotechnology: Physical chemistry of nanoclusters, nanostructures and nanomaterials. Moscow: URSS; 2008. 589 p. (In Russ.)Redel LV, Gafner YuYa, Gafner SL. The role of “magic” numbers in structure formation in small silver nanoclusters. Fizika tverdogo tela = Physics of the Solid State. 2015;57(10):2061-2070. (In Russ.)Redel LV, Gafner YuYa, Gafner SL. The role of “magic” numbers in structure formation in small silver nanoclusters. Fizika tverdogo tela = Physics of the Solid State. 2015;57(10):2061-2070. (In Russ.)Mazalova VL, Kravtsova AN, Soldatov AV. Nanoclusters: X-ray spectral studies and computer simulation. Moscow: FIZMATLIT; 2013. 184 p. (In Russ.)Mazalova VL, Kravtsova AN, Soldatov AV. Nanoclusters: X-ray spectral studies and computer simulation. Moscow: FIZMATLIT; 2013. 184 p. (In Russ.)Derevianko AI. Computer simulation of phase transition dynamics in aggregation processes. Adaptivnyye sistemy avtomaticheskogo upravleniya: mezhvedomstvennyy nauchno-tekhnicheskiy sbornik. 2005;8(28):11-15. (In Russ.)Derevianko AI. Computer simulation of phase transition dynamics in aggregation processes. Adaptivnyye sistemy avtomaticheskogo upravleniya: mezhvedomstvennyy nauchno-tekhnicheskiy sbornik. 2005;8(28):11-15. (In Russ.)Roldugin VI. Fractal structures in dispersed systems. Uspekhi khimii = Russian Chemical Reviews. 2003;72(10):931-959. (In Russ.)Roldugin VI. Fractal structures in dispersed systems. Uspekhi khimii = Russian Chemical Reviews. 2003;72(10):931-959. (In Russ.)Zyryanov RS. Development of fractal models of aggregation of colloidal particles. Molodoy uchenyy. 2016;24(128):72-76. (In Russ.)Zyryanov RS. Development of fractal models of aggregation of colloidal particles. Molodoy uchenyy. 2016;24(128):72-76. (In Russ.)Wei H. From silver nanoparticles to thin films: Evolution of microstructure and electrical conduction on glass substrates. Journal of Physics and Chemistry of Solids. 2009;70:459-465. DOI:10.1016/j.jpcs.2008.11.012Wei H. From silver nanoparticles to thin films: Evolution of microstructure and electrical conduction on glass substrates. Journal of Physics and Chemistry of Solids. 2009;70:459-465. DOI:10.1016/j.jpcs.2008.11.012Gladskikh IA, Polishchuk VA, Vartanyan TA. Silver structures at the percolation threshold, prepared by laser annealing. Physics of the Solid State. 2017;59:601-606. DOI:10.1134/S106378341703012XGladskikh IA, Polishchuk VA, Vartanyan TA. Silver structures at the percolation threshold, prepared by laser annealing. Physics of the Solid State. 2017;59:601-606. DOI:10.1134/S106378341703012XLysenkov EA, Klepko VV, Yakovlev YuV. Features of the percolation behavior of systems based on polyesters and carbon nanotubes with the addition of LiClO4. Elektronnaya obrabotka materialov = Surface Engineering and Applied Electrochemistry. 2016;52(2):62-68. (In Russ.)Lysenkov EA, Klepko VV, Yakovlev YuV. Features of the percolation behavior of systems based on polyesters and carbon nanotubes with the addition of LiClO4. Elektronnaya obrabotka materialov = Surface Engineering and Applied Electrochemistry. 2016;52(2):62-68. (In Russ.)Trachtenberg LI, Melnikov MYa. Synthesis, structure and properties of metal/semiconductor containing nanostructured composites. Moscow: Technosphere; 2016. 624 p. (In Russ.)Trachtenberg LI, Melnikov MYa. Synthesis, structure and properties of metal/semiconductor containing nanostructured composites. Moscow: Technosphere; 2016. 624 p. (In Russ.)Rostovshchikova TN, Smirnov VV, Kozhevin VM, Yavsin DA, Gurevich SA. Intercluster interactions in catalysis by nanosized metal particles.Rossiyskiye nanotekhnologii = Nanobiotechnology Reports. 2007; 2(1-2):47-60. (In Russ.)Rostovshchikova TN, Smirnov VV, Kozhevin VM, Yavsin DA, Gurevich SA. Intercluster interactions in catalysis by nanosized metal particles.Rossiyskiye nanotekhnologii = Nanobiotechnology Reports. 2007; 2(1-2):47-60. (In Russ.)Vartanyan TA, Gladskikh IA, Leonov NB, Przhibelsky SG. Fine structures and electrical conductivity switching in silver labyrinth films on sapphire. Fizika tverdogo tela = Physics of the Solid State. 2014;56(4):783-789. (In Russ.)Vartanyan TA, Gladskikh IA, Leonov NB, Przhibelsky SG. Fine structures and electrical conductivity switching in silver labyrinth films on sapphire. Fizika tverdogo tela = Physics of the Solid State. 2014;56(4):783-789. (In Russ.)Fateev MP. Hopping transport theory in disordered systems. Fizika tverdogo tela = Physics of the Solid State. 2010;52(6):1053-1059. (In Russ.)Fateev MP. Hopping transport theory in disordered systems. Fizika tverdogo tela = Physics of the Solid State. 2010;52(6):1053-1059. (In Russ.)Bleibaum O, Böttger H, Bryksin VV. Randomresistor network description for hopping transport in the presence of Hubbard interaction. Journal of Physics: Condensed Matter. 2003;15:1719. DOI:10.1088/0953-8984/15/10/319Bleibaum O, Böttger H, Bryksin VV. Randomresistor network description for hopping transport in the presence of Hubbard interaction. Journal of Physics: Condensed Matter. 2003;15:1719. DOI:10.1088/0953-8984/15/10/319Faggionato A, Mimun HA. Connection probabilities in Poisson random graphs with uniformly bounded edges. Alea. 2019;16:463-486. DOI:10.30757/ALEA.v16-18Faggionato A, Mimun HA. Connection probabilities in Poisson random graphs with uniformly bounded edges. Alea. 2019;16:463-486. DOI:10.30757/ALEA.v16-18Wagner S, Pundt A. Conduction mechanisms during the growth of the Pd thin films: experiment and model. Physical Review B – Condensed Matter and Materials Physics. 2008;78:155131. DOI:10.1103/PhysRevB.78.155131Wagner S, Pundt A. Conduction mechanisms during the growth of the Pd thin films: experiment and model. Physical Review B – Condensed Matter and Materials Physics. 2008;78:155131. DOI:10.1103/PhysRevB.78.155131Sieradzki K, Bailey K, Alford TL. Agglomeration and percolation conductivity. Applied Physics Letters. 2001;79:3401-3403. DOI:10.1063/1.1419043Sieradzki K, Bailey K, Alford TL. Agglomeration and percolation conductivity. Applied Physics Letters. 2001;79:3401-3403. DOI:10.1063/1.1419043Kornyushchenko AS, Natalich VV, Perekrestov VI, Kosminska YO. Obtaining, structure and sensory properties of fractal-percolation ZnO. Journal of Nanoand Electronic Physics. 2018;10:06021. DOI:10.21272/jnep.10(6).06021Kornyushchenko AS, Natalich VV, Perekrestov VI, Kosminska YO. Obtaining, structure and sensory properties of fractal-percolation ZnO. Journal of Nanoand Electronic Physics. 2018;10:06021. DOI:10.21272/jnep.10(6).06021Fedorovich R, Naumovets A, Tomchuk P. Electronic properties of island thin films caused by surface scattering of electrons. Progress in Surface Science. 2000;328:73-179. DOI:10.1016/0079-6816(93)90069-8Fedorovich R, Naumovets A, Tomchuk P. Electronic properties of island thin films caused by surface scattering of electrons. Progress in Surface Science. 2000;328:73-179. DOI:10.1016/0079-6816(93)90069-8Saifutyarov RR, Khomyakov AV, Mozhevitina EN, Avetisov IKh. Nanoscale films of cadmium and zinc selenides with controlled nonschiometry. Uspekhi v khimii i khimicheskoy tekhnologii.2014;6:28-30. (In Russ.)Saifutyarov RR, Khomyakov AV, Mozhevitina EN, Avetisov IKh. Nanoscale films of cadmium and zinc selenides with controlled nonschiometry. Uspekhi v khimii i khimicheskoy tekhnologii.2014;6:28-30. (In Russ.)Boltaev AP, Penin NA, Pogosov AO, Pudonin FA. Activation conductivity in island metal films. Zhurnal Eksperimental′noy i Teoreticheskoy Fiziki = Journal of Experimental and Theoretical Physics. 2004;126:954-961. (In Russ.)Boltaev AP, Penin NA, Pogosov AO, Pudonin FA. Activation conductivity in island metal films. Zhurnal Eksperimental′noy i Teoreticheskoy Fiziki = Journal of Experimental and Theoretical Physics. 2004;126:954-961. (In Russ.)Ravich Yu. Hopping conduction over strongly localized states of indium in PbTe and solid solutions based on it. Fizika i tekhnika poluprovodnikov = Semiconductors. 2002;36(1):3-23. (In Russ.)Ravich Yu. Hopping conduction over strongly localized states of indium in PbTe and solid solutions based on it. Fizika i tekhnika poluprovodnikov = Semiconductors. 2002;36(1):3-23. (In Russ.)Anfimov IM, Kobeleva SP, Malinkovich MD, Shemerov IV, Toropova. OV, Parkhomenko YuN. Electrical conductivity mechanisms of silicon–carbon nanocomposites with nanosized tungsten inclusions in the temperature range 20–200 °С. Materialy elektronnoy tekhniki. 2012;2:58-60. (In Russ.)Anfimov IM, Kobeleva SP, Malinkovich MD, Shemerov IV, Toropova. OV, Parkhomenko YuN. Electrical conductivity mechanisms of silicon–carbon nanocomposites with nanosized tungsten inclusions in the temperature range 20–200 °С. Materialy elektronnoy tekhniki. 2012;2:58-60. (In Russ.)Yu D, Wang C, Wehrenberg BL, GuyotSionnest P. Variable range hopping conduction in semiconductor nanocrystal solids. Physical Review Letters. 2004;92(21):216802. DOI:10.1103/PhysRevLett.92.216802Yu D, Wang C, Wehrenberg BL, GuyotSionnest P. Variable range hopping conduction in semiconductor nanocrystal solids. Physical Review Letters. 2004;92(21):216802. DOI:10.1103/PhysRevLett.92.216802Gallyamov SR, Melchukov SA. Percolation model of two-phase lattice conductivity: theory and computer experiment. Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp′yuternyye nauki. 2010;4:112-122. (In Russ.)Gallyamov SR, Melchukov SA. Percolation model of two-phase lattice conductivity: theory and computer experiment. Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp′yuternyye nauki. 2010;4:112-122. (In Russ.)Aleskerov FK, Kakhramanov KSH, Kakhramanov SSH. Percolation effect in Bi2Te3 crystals doped with copper or nickel. Neorganicheskiye materialy = Inorganic Materials. 2012;48(5):536-541. (In Russ.)Aleskerov FK, Kakhramanov KSH, Kakhramanov SSH. Percolation effect in Bi2Te3 crystals doped with copper or nickel. Neorganicheskiye materialy = Inorganic Materials. 2012;48(5):536-541. (In Russ.)Melezhyk AV, Tkachev AG. Synthesis of graphene nanoplatelets from peroxosulfate graphite interaction compounds. Nanosystems: Physics, Chemistry, Mathematics. 2014;5(2):294-306.Melezhyk AV, Tkachev AG. Synthesis of graphene nanoplatelets from peroxosulfate graphite interaction compounds. Nanosystems: Physics, Chemistry, Mathematics. 2014;5(2):294-306.

The authors declare that there are no conflicts of interest present.