The Anomalous Hall Effect
Mesoscale and Nanoscale Physics
2022-09-20 v1 Strongly Correlated Electrons
Abstract
This article reviews the main contributions to the anomalous Hall effect and its resurgence in the past three decades, which has been accompanied by the rise of topological phenomena and topological materials. I will show that the anomalous Hall effect stems from the interplay of magnetism, spin-orbit coupling, disorder scattering and driving electric fields, it spans the classical, quantum and relativistic worlds, and has generated controversy for nearly one and a half centuries. It has become the smoking gun for detecting magnetic order and, extraordinarily, it continues to reveal new physics, with several novel varieties reported in the past decade.
Keywords
Cite
@article{arxiv.2204.02434,
title = {The Anomalous Hall Effect},
author = {Dimitrie Culcer},
journal= {arXiv preprint arXiv:2204.02434},
year = {2022}
}
Comments
Book chapter for Elsevier Encyclopedia of Condensed Matter Physics