Anomalous Hall effects and electron polarizability

TL;DR

This paper presents a microscopic theory explaining the anomalous and spin Hall effects through space distribution of current densities influenced by spin-orbit coupling, emphasizing the importance of quasiparticle state separation.

Contribution

It introduces a new microscopic framework based on current density distribution and quasiparticle separation to explain Hall effects, highlighting the role of spin-orbit coupling.

Findings

Spin-orbit coupling causes space separation of mass centers.

Quasiparticle states with opposite velocities are spatially separated.

The separation is essential for the existence of Hall effects.

Abstract

A theory of the anomalous and spin Hall effects, based on the space distribution of the current densities, is presented. Spin-orbit coupling gives rise to a space separation of the mass centers, as well as a current density separation of the quasiparticle states having opposite group velocities. It is shown that this microscopic property is essential for existence of both Hall effects.