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Fizika Tverdogo Tela, 2019, Volume 61, Issue 11, Pages 2116–2121
DOI: https://doi.org/10.21883/FTT.2019.11.48416.509 (Mi ftt8624) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Impurity centers

Effect of nonequilibrium correlations on the effective resistances between sites in the theory of hopping conductivity

A. V. Shumilin, Ya. M. Bel'tyukov

Ioffe Institute, St. Petersburg
Full-text PDF (680 kB) Citations (3)
DOI: https://doi.org/10.21883/FTT.2019.11.48416.509
Abstract: It has been shown that the nonequilibrium correlations in hopping conductivity can be taken into account by generalizing the Miller–Abrahams network of resistors. The resistances of resistors between nodes in such a network are related to their environment. Moreover, some nonlocal elements exist, which create the voltage on one resistor proportional to the current through the other resistor. These elements are required to make controllable the approximation used to construct the network. The greatest change in the resistance takes place in the resistors, whose resistance is lower than the critical resistance of the percolation theory.
Keywords: hopping conductivity, correlation of occupation numbers, Miller–Abrahams network of resistors.
Received: 10.06.2019
Revised: 10.06.2019
Accepted: 10.06.2019
English version:
Physics of the Solid State, 2019, Volume 61, Issue 11, Pages 2090–2095
DOI: https://doi.org/10.1134/S1063783419110349
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Shumilin, Ya. M. Bel'tyukov, “Effect of nonequilibrium correlations on the effective resistances between sites in the theory of hopping conductivity”, Fizika Tverdogo Tela, 61:11 (2019), 2116–2121; Phys. Solid State, 61:11 (2019), 2090–2095
Citation in format AMSBIB
\Bibitem{ShuBel19}
\by A.~V.~Shumilin, Ya.~M.~Bel'tyukov
\paper Effect of nonequilibrium correlations on the effective resistances between sites in the theory of hopping conductivity
\jour Fizika Tverdogo Tela
\yr 2019
\vol 61
\issue 11
\pages 2116--2121
\mathnet{http://mi.mathnet.ru/ftt8624}
\crossref{https://doi.org/10.21883/FTT.2019.11.48416.509}
\elib{https://elibrary.ru/item.asp?id=41300781}
\transl
\jour Phys. Solid State
\yr 2019
\vol 61
\issue 11
\pages 2090--2095
\crossref{https://doi.org/10.1134/S1063783419110349}
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  • https://www.mathnet.ru/eng/ftt8624
  • https://www.mathnet.ru/eng/ftt/v61/i11/p2116
    • This publication is cited in the following 3 articles:
    1. Kiriko Terai, Jonathon L. Yuly, Peng Zhang, David N. Beratan, “Correlated particle transport enables biological free energy transduction”, Biophysical Journal, 122:10 (2023), 1762  crossref
    2. A. V. Shumilin, “Dynamic spin polarization in organic semiconductors with intermolecular exchange interaction”, Phys. Rev. B, 105:10 (2022)  crossref
    3. A. V. Shumilin, “Microscopic theory of organic magnetoresistance based on kinetic equations for quantum spin correlations”, Phys. Rev. B, 101:13 (2020)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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