English

Hall Effect in Granular Metals: Weak Localization Corrections

Mesoscale and Nanoscale Physics 2007-08-01 v1 Strongly Correlated Electrons

Abstract

We study the effects of localization on the Hall transport in a granular system at large tunneling conductance gT1g_{T}\gg 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, \deρxyWL=0\de \rho_{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.

Keywords

Cite

@article{arxiv.0707.4582,
  title  = {Hall Effect in Granular Metals: Weak Localization Corrections},
  author = {Maxim Yu. Kharitonov and Konstantin B. Efetov},
  journal= {arXiv preprint arXiv:0707.4582},
  year   = {2007}
}

Comments

8 pages, 4 figures

R2 v1 2026-06-21T09:03:22.978Z