Anomalous Hall conductivity: local orbitals approach

TL;DR

This paper develops a local orbital-based theory for anomalous Hall conductivity, analyzing the transition from ideal to disordered systems and capturing experimental features across different metallic regimes.

Contribution

It introduces a local orbital approach to anomalous Hall conductivity, incorporating disorder effects and bridging ideal and strongly disordered regimes.

Findings

The model reproduces qualitative features of anomalous conductivity in good metals.

It explains the transition from Berry phase dominance to relaxation time dependence.

The approach unifies behavior across different metallic regimes.

Abstract

A theory of the anomalous Hall conductivity based on the properties of single site orbitals is presented. Effect of the finite electron life time is modeled by energy fluctuations of atomic-like orbitals. Transition from the ideal Bloch system for which the conductivity is determined by the Berry phase curvatures to the case of strong disorder for which the conductivity becomes dependent on the relaxation time is analyzed. Presented tight-binding model gives by the unified way experimentally observed qualitative features of the anomalous conductivity in the so called good metal regime and that called as bad metal or hopping regime.