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Field-linear anomalous Hall effect and Berry curvature induced by spin chirality in the kagome antiferromagnet Mn3Sn

Xiaokang Li (), Jahyun Koo, Zengwei Zhu (), Kamran Behnia and Binghai Yan ()
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Xiaokang Li: Huazhong University of Science and Technology
Jahyun Koo: Weizmann Institute of Science
Zengwei Zhu: Huazhong University of Science and Technology
Kamran Behnia: PSL Research University
Binghai Yan: Weizmann Institute of Science

Nature Communications, 2023, vol. 14, issue 1, 1-7

Abstract: Abstract During the past two decades, it has been established that a non-trivial electron wave-function topology generates an anomalous Hall effect (AHE), which shows itself as a Hall conductivity non-linear in magnetic field. Here, we report on an unprecedented case of field-linear AHE. In Mn3Sn, a kagome magnet, the out-of-plane Hall response, which shows an abrupt jump, was discovered to be a case of AHE. We find now that the in-plane Hall response, which is perfectly linear in magnetic field, is set by the Berry curvature of the wavefunction. The amplitude of the Hall response and its concomitant Nernst signal exceed by far what is expected in the semiclassical picture. We argue that magnetic field induces out-of-plane spin canting and thereafter gives rise to nontrivial spin chirality on the kagome lattice. In band structure, we find that the spin chirality modifies the topology by gapping out Weyl nodal lines unknown before, accounting for the AHE observed. Our work reveals intriguing unification of real-space Berry phase from spin chirality and momentum-space Berry curvature in a kagome material.

Date: 2023
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DOI: 10.1038/s41467-023-37076-w

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