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Review Article
Open Access
Topological Magnets: Functions Based on Berry Phase and Multipoles
- Satoru Nakatsuji1,2,3,4, and Ryotaro Arita5,6
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View Affiliations Hide AffiliationsAffiliations: 1Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, Japan; email: [email protected] 2Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba, Japan 3Trans-scale Quantum Science Institute, University of Tokyo, Bunkyo-ku, Tokyo, Japan 4Institute for Quantum Matter and Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland, USA 5Department of Applied Physics, University of Tokyo, Tokyo, Japan 6Center for Emergent Matter Science, RIKEN, Saitama, Japan
- Vol. 13:119-142 (Volume publication date March 2022) https://doi.org/10.1146/annurev-conmatphys-031620-103859
- First published as a Review in Advance on November 04, 2021
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Copyright © 2022 Nakatsuji et al..This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. See credit lines of images or other third-party material in this article for license information
Abstract
Macroscopic responses of magnets are often governed by magnetization and, thus, have been restricted to ferromagnets. However, such responses are strikingly large in the newly developed topological magnets, breaking the conventional scaling with magnetization. Taking the recently discovered antiferromagnetic (AF) Weyl semimetals as a prime example, we highlight the two central ingredients driving the significant macroscopic responses: the Berry curvature enhanced because of nontrivial band topology in momentum space, and the cluster magnetic multipoles in real space. The combination of large Berry curvature and multipoles enables large macroscopic responses such as the anomalous Hall and Nernst effects, the magneto-optical effect, and the novel magnetic spin Hall effect in antiferromagnets with negligible net magnetization, but also allows us to manipulate these effects by electrical means. Furthermore, nodal-point and nodal-line semimetallic states in ferromagnets may provide the strongly enhanced Berry curvature near the Fermi energy, leading to large responses beyond the conventional magnetization scaling. These significant properties and functions of the topological magnets lay the foundation for future technological development such as spintronics and thermoelectric technology.
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