Spin transverse force and intrinsic quantum transverse transport

TL;DR

This paper explores how spin-orbit coupling induces a transverse force on electrons, linking it to quantum transverse transport phenomena like the anomalous Hall effect, and predicts sign changes in conductance in certain materials.

Contribution

It establishes a relation between spin force and Hall conductance, providing a new heuristic and predicting experimental signatures of intrinsic mechanisms in magnetic semiconductors.

Findings

Spin-orbit coupling generates a spin transverse force.

Relation between spin force and anomalous Hall conductance was established.

Sign change of anomalous Hall conductance predicted in narrow band magnetic semiconductors.

Abstract

The spin-orbit coupling may generate spin transverse force on moving electron spin, which gives a heuristic picture for the quantum transverse transport of electron. A relation between the spin and anomalous Hall conductance and spin force was established, and applied to several systems. It was predicted that the sign change of anomalous Hall conductance can occur in diluted magnetic semiconductors of narrow band and can be applied to identify intrinsic mechanism experimentally.