Hall Effect in Granular Metals: Weak Localization Corrections

Details Hall Effect in Granular Metals: Weak Localization Corrections Hall Effect in Granular Metals: Weak Localization Corrections

2007-07-31

arxiv.org/abs/0707.4582v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 4 figures

Scientific paper

We study the effects of localization on the Hall transport in a granular system at large tunneling conductance $g_{T}\gg 1$ 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, $\de \rho_{xy}^{WL}=0$. 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.

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