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- Publisher Website: 10.1103/PhysRevB.100.165422
- Scopus: eid_2-s2.0-85074937258
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Article: Theory of nonlinear Hall effects: Modified semiclassics from quantum kinetics
Title | Theory of nonlinear Hall effects: Modified semiclassics from quantum kinetics |
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Authors | |
Issue Date | 2019 |
Citation | Physical Review B, 2019, v. 100, n. 16, article no. 165422 How to Cite? |
Abstract | We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows from the interband-coherence effect of dc electric fields during scattering and is related to the interband Berry connection. As an application, we demonstrate it in the second-order nonlinear Hall effect of the tilted massive Dirac model. The intuitive Boltzmann constructions are confirmed by a quantum kinetic theory, which shows that the arbitrary nth-order nonlinear dc response up to the first three leading contributions in the weak disorder potential is handled by the same few gauge-invariant semiclassical ingredients. |
Description | Accepted manuscript is available on the publisher website. |
Persistent Identifier | http://hdl.handle.net/10722/311476 |
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 | Xiao, Cong | - |
dc.contributor.author | Du, Z. Z. | - |
dc.contributor.author | Niu, Qian | - |
dc.date.accessioned | 2022-03-22T11:54:02Z | - |
dc.date.available | 2022-03-22T11:54:02Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Physical Review B, 2019, v. 100, n. 16, article no. 165422 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | http://hdl.handle.net/10722/311476 | - |
dc.description | Accepted manuscript is available on the publisher website. | - |
dc.description.abstract | We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows from the interband-coherence effect of dc electric fields during scattering and is related to the interband Berry connection. As an application, we demonstrate it in the second-order nonlinear Hall effect of the tilted massive Dirac model. The intuitive Boltzmann constructions are confirmed by a quantum kinetic theory, which shows that the arbitrary nth-order nonlinear dc response up to the first three leading contributions in the weak disorder potential is handled by the same few gauge-invariant semiclassical ingredients. | - |
dc.language | eng | - |
dc.relation.ispartof | Physical Review B | - |
dc.title | Theory of nonlinear Hall effects: Modified semiclassics from quantum kinetics | - |
dc.type | Article | - |
dc.description.nature | link_to_OA_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevB.100.165422 | - |
dc.identifier.scopus | eid_2-s2.0-85074937258 | - |
dc.identifier.volume | 100 | - |
dc.identifier.issue | 16 | - |
dc.identifier.spage | article no. 165422 | - |
dc.identifier.epage | article no. 165422 | - |
dc.identifier.eissn | 2469-9969 | - |
dc.identifier.isi | WOS:000492970400006 | - |