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Transport Properties of Granular Metals at Low Temperatures

2003/04/19 by I. S. Beloborodov, K. B. Efetov, A. V. Lopatin +1 · 5 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.91.246801

published as Phys. Rev. Lett. 91, 246801 (2003)

arxiv created 2003/04/19 · openalex publication_date 2003/12/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate transport in a granular metallic system at large tunneling conductance between the grains, g(T)>>1. We show that at low temperatures, T</=g(T)delta, where delta is the mean energy level spacing in a single grain, the coherent electron motion at large distances dominates the physics, contrary to the high-temperature (T>g(T)delta) behavior where conductivity is controlled by the scales of the order of the grain size. In three dimensions we predict the metal-insulator transition at the bare tunneling conductance g(C)(T)=(1/6pi)ln((E(C)/delta), where E(C) is the charging energy of a single grain. Corrections to the density of states of granular metals due to the electron-electron interaction are calculated. Our results compare favorably with the logarithmic dependence of resistivity in the high-T(c) cuprate superconductors indicating that these materials may have a granular structure.

Citations

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