Geometrical interpretation of Hall conductivity in metals

TL;DR

This paper provides a geometrical perspective on the Hall conductivity in metals by relating it to the curvature of the Fermi surface, and discusses related magnetic properties emphasizing Peierls' area factor.

Contribution

It introduces a geometrical interpretation of Hall conductivity in metals based on Fermi surface curvature, expanding understanding of magnetic responses.

Findings

Hall conductivity linked to Fermi surface curvature

Discussion of orbital magnetic susceptibility and magneto-conductivity

Emphasis on Peierls' area factor in magnetic properties

Abstract

The weak-field Hall conductivity in metals is interpreted in terms of the curvature of the Fermi surface in the main part. In the appendix the orbital magnetic-susceptibility and the magneto-conductivity in metals are discussed focusing on Peierls' area factor.