Published in

Nature Research, npj Computational Materials, 1(9), 2023

DOI: 10.1038/s41524-023-01113-5

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High-throughput study of the anomalous Hall effect

Journal article published in 2023 by Jakub Železný, Yuta Yahagi ORCID, Carles Gomez-Olivella, Yang Zhang, Yan Sun
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

AbstractDespite its long history, the anomalous Hall continues to attract attention due to its complex origins, its connection to topology, and its use as a probe of magnetic order. In this work we investigate the anomalous Hall effect in 2871 ferromagnetic materials using an automatic high-throughput calculation scheme. We analyze general properties of the effect, such as its reliance on spin-orbit coupling strength and magnetization. In materials with the largest anomalous Hall effect, we find that symmetry-protected band degeneracies in the non-relativistic electronic structure, such as mirror symmetry-protected nodal lines, are typically responsible for the large effect. Furthermore, we examine the dependence of the anomalous Hall effect on magnetization direction and demonstrate deviations from the commonly assumed expression jAHE ~ M × E.