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- Publisher Website: 10.1103/PhysRevB.107.075411
- WOS: WOS:000932048600003
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Article: Third-order intrinsic anomalous Hall effect with generalized semiclassical theory
Title | Third-order intrinsic anomalous Hall effect with generalized semiclassical theory |
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Authors | |
Issue Date | 1-Feb-2023 |
Publisher | American Physical Society |
Citation | Physical Review B, 2023, v. 107, n. 7 How to Cite? |
Abstract | 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-inducedĀ positional shift, plays a pivotal role in the observation of this effect. Moreover, with symmetry analysis, we find that the third-order 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 symmetry arguments, a two-band model is chosen to demonstrate the generalized theory. Furthermore, the generalized third-order semiclassical theory depends only on the properties of Bloch bands, implying that it can also be employed to explore the IAHE in realistic AFM materials, by combining with first-principles calculations. |
Persistent Identifier | http://hdl.handle.net/10722/328272 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.345 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wang, Jian | - |
dc.contributor.author | Xiang, Longjun | - |
dc.contributor.author | Zhang, Chao | - |
dc.contributor.author | Wang, Luyang | - |
dc.date.accessioned | 2023-06-28T04:40:53Z | - |
dc.date.available | 2023-06-28T04:40:53Z | - |
dc.date.issued | 2023-02-01 | - |
dc.identifier.citation | Physical Review B, 2023, v. 107, n. 7 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | http://hdl.handle.net/10722/328272 | - |
dc.description.abstract | <p>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-inducedĀ <em>positional shift</em>, plays a pivotal role in the observation of this effect. Moreover, with symmetry analysis, we find that the third-order 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 symmetry arguments, a two-band model is chosen to demonstrate the generalized theory. Furthermore, the generalized third-order semiclassical theory depends only on the properties of Bloch bands, implying that it can also be employed to explore the IAHE in realistic AFM materials, by combining with first-principles calculations.<br></p> | - |
dc.language | eng | - |
dc.publisher | American Physical Society | - |
dc.relation.ispartof | Physical Review B | - |
dc.title | Third-order intrinsic anomalous Hall effect with generalized semiclassical theory | - |
dc.type | Article | - |
dc.identifier.doi | 10.1103/PhysRevB.107.075411 | - |
dc.identifier.hkuros | 344853 | - |
dc.identifier.volume | 107 | - |
dc.identifier.issue | 7 | - |
dc.identifier.eissn | 2469-9969 | - |
dc.identifier.isi | WOS:000932048600003 | - |
dc.identifier.issnl | 2469-9950 | - |