Hall Effect in Granular Metals: Weak Localization Corrections

2007/07/31 by Maxim Kharitonov, Kharitonov, Maxim Yu., K. B. Efetov +1
Physics and Astronomy · #FOS: Physical sciences #Magnetic properties of thin films #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.0707.4582

openalex publication_date 2007/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the effects of localization on the Hall transport in a granular system at large tunneling conductance g_T≫ 1 corresponding to the metallic regime. We show that the first-order in 1/g_T weak localization correction to Hall resistivity of a two- or three-dimensional granular array vanishes identically, \de ρ_xy^WL=0. This result is in agreement with the one for ordinary disordered metals. Being due to an exact cancellation, our result holds for arbitrary relevant values of temperature T and magnetic field H, both in the ``homogeneous'' regime of very low T and H corresponding to ordinary disordered metals and in the ``structure-dependent'' regime of higher values of T or H.

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