Electron-Magnon Scattering in Anomalous Hall Effect

TL;DR

This paper investigates how electron-magnon scattering influences the anomalous Hall effect, revealing its significant and distinct role compared to other scattering mechanisms, with notable temperature-dependent effects on Hall conductivity.

Contribution

It provides a detailed analysis of electron-magnon scattering's impact on the anomalous Hall effect and demonstrates this through calculations on a 2D Dirac model.

Findings

Electron-magnon scattering significantly affects Hall conductivity.

The competition between scattering mechanisms alters Hall response.

Side jump contribution shows strong temperature dependence.

Abstract

We study the role played by electron-magnon scattering in the anomalous Hall effect. We find that it has important contributions distinct from other scattering processes like impurities scattering and phonon scattering. As a demonstration, we calculate the Hall conductivity for a two dimensional Dirac model. The result indicates that as system control parameter varies, the competition between magnon scattering and other types of scattering changes the Hall conductivity drastically. In particular, the side jump contribution could acquire a strong temperature dependence.