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arXiv · 0707.4582

Hall Effect in Granular Metals: Weak Localization Corrections

Maxim Yu. Kharitonov·Konstantin B. Efetov
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Abstract

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, $\de ρ_{xy}^{WL}=0$. 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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Maxim Yu. Kharitonov, Konstantin B. Efetov. 2007-07-31. Hall Effect in Granular Metals: Weak Localization Corrections. https://arxiv.org/abs/0707.4582

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