A Geometrical Description of the "Classical" Weak-Field Hall Effect in Metals

2005/04/11 by F. D. M. Haldane, Haldane, F. D. M.
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0504227

4 pages, 1 figure; minor modification to emphasize that the 2nd form of the expression as an integral in l-space is inspired by Ong's 2D work

arxiv created 2005/04/12 · arxiv updated 2009/12/01

Abstract

Within the ``anisotropic relaxation time'' approach to transport processes, I obtain a new geometric formula for the weak-field Hall conductivity of metals, which generalizes previously-known formulas due to Tsuji (restricted to cubic 3D metals) and Ong (for 2D metals).

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