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Pis'ma v Zh. Èksper. Teoret. Fiz., 2010, Volume 91, Issue 1, Pages 43–50 (Mi jetpl626)  

This article is cited in 2 scientific papers (total in 2 papers)

CONDENSED MATTER

Coulomb zero bias anomaly for fractal geometry and conductivity of granular systems near the percolation threshold

A. S. Ioselevichab

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Moscow Institute of Physics and Technology

Abstract: A granular system slightly below the percolation threshold is a collection of finite metallic clusters, characterized by wide spectrum of sizes, resistances, and charging energies. Electrons hop from cluster to clusters via short insulating “links” of high resistance. At low temperatures all clusters are Coulomb blockaded and the dc-conductivity $\sigma$ is exponentially suppressed. At lowest $T$ the leading transport mechanism is variable range cotunneling via largest (critical) clusters, leading to the modified Efros-Shklovsky law. At intermediate temperatures the principal suppression of $\sigma$ originates from the Coulomb zero bias anomaly occurring, when electron tunnels between adjacent large clusters with large resistances. Such clusters are essentially extended objects and their internal dynamics should be taken into account. In this regime the $T$-dependence of $\sigma$ is stretched exponential with a nontrivial index, expressed through the indices of percolation theory. Due to the fractal structure of large clusters the anomaly is strongly enhanced: it arises not only in low dimensions, but also in $d=3$ case.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2010, 91:1, 40–47

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Received: 09.12.2009
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Citation: A. S. Ioselevich, “Coulomb zero bias anomaly for fractal geometry and conductivity of granular systems near the percolation threshold”, Pis'ma v Zh. Èksper. Teoret. Fiz., 91:1 (2010), 43–50; JETP Letters, 91:1 (2010), 40–47

Citation in format AMSBIB
\Bibitem{Ios10}
\by A.~S.~Ioselevich
\paper Coulomb zero bias anomaly for fractal geometry and conductivity of granular systems near the percolation threshold
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2010
\vol 91
\issue 1
\pages 43--50
\mathnet{http://mi.mathnet.ru/jetpl626}
\transl
\jour JETP Letters
\yr 2010
\vol 91
\issue 1
\pages 40--47
\crossref{https://doi.org/10.1134/S0021364010010108}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949411571}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Meilikhov E.Z., Farzetdinova R.M., Phys Lett A, 375:42 (2011), 3731–3738  crossref  adsnasa  isi  elib  scopus
    2. D. S. Goldobin, JETP Letters, 99:5 (2014), 273–277  mathnet  crossref  crossref  isi  elib  elib
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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