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Third-order intrinsic anomalous Hall effect with generalized semiclassical theory by Longjun Xiang; Chao Zhang; Luyang Wang; Jian Wang is a Physics and Astronomy article available to read on EtoBox.

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The linear intrinsic anomalous Hall effect (IAHE) and second-order IAHE have been intensively investigated in time-reversal broken systems. However, as one of the important members of the nonlinear Hall family, the investigation of third-order IAHE remains absent due to the lack of an appropriate theoretical approach, although the third-order extrinsic AHE has been studied within the framework of first-and second-order semiclassical theory. Herein, we generalize the semiclassical theory for Bloch electrons under the uniform electric field up to the third order using the wave-packet method and based on which we predict that the third-order IAHE can also occur in time-reversal broken systems. Same as the second-order IAHE, we find the band geometric quantity, the second-order field-dependent Berry curvature arising from the second-order field-induced positional shift, plays a pivotal role in the observation of this effect. Moreover, with symmetry analysis, we find that the thirdorder IAHE, as the leading contribution, is supported by 15 time-reversal broken three-dimensional magnetic point groups, corresponding to a wide class of antiferromagnetic (AFM) materials. Guided by the symme

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Author

Longjun Xiang; Chao Zhang; Luyang Wang; Jian Wang

Publisher

American Physical Society (APS)

Published

2023

Language

EN

Field

Physics and Astronomy (Physical Sciences)