Hall transport in granular metals

Maxim Yu. Kharitonov and Konstantin B. Efetov
Phys. Rev. B 77, 045116 – Published 14 January 2008

Abstract

We present a theory of the Hall effect in dense-packed granular systems at large tunneling conductance gT1 (metallic regime). The Hall transport is essentially determined by the intragrain electron dynamics which, as we find using the Kubo formula and diagrammatic technique, can be described by nonzero diffusion modes inside the grains. We show that in the absence of quantum effects the Hall resistivity ρxy depends neither on the tunneling conductance nor on the intragrain disorder and is given by the classical formula ρxy=H(n*ec), where n* differs from the carrier density n inside the grains by a numerical coefficient determined by the shape of the grains and type of granular lattice. We then study the quantum effects of the Coulomb interaction and weak localization by calculating the first order in 1gT corrections and find that (i) in a wide range of temperatures TΓ exceeding the tunneling escape rate Γ, the Coulomb interaction gives rise to the logarithmic-in-T correction to ρxy, which is of local origin and absent in conventional disordered metals; (ii) the large-scale “Altshuler-Aronov” correction to the Hall conductivity σxy vanishes, δσxyAA=0; (iii) the weak localization correction to the Hall resistivity ρxy vanishes, δρxyWL=0. The results (ii) and (iii) are in agreement with the theory of conventional disordered metals.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
12 More
  • Received 6 July 2007

DOI:https://doi.org/10.1103/PhysRevB.77.045116

©2008 American Physical Society

Authors & Affiliations

Maxim Yu. Kharitonov1 and Konstantin B. Efetov1,2

  • 1Theoretische Physik III, Ruhr-Universität Bochum, Germany
  • 2L.D. Landau Institute for Theoretical Physics, Moscow, Russia

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 77, Iss. 4 — 15 January 2008

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×