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  Nonperturbative topological current in Weyl and Dirac semimetals in laser fields

Dantas, R. M. A., Wang, Z., Surówka, P., & Oka, T. (2021). Nonperturbative topological current in Weyl and Dirac semimetals in laser fields. Physical Review B, 103(20): L201105, pp. 1-6. doi:10.1103/PhysRevB.103.L201105.

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 Creators:
Dantas, Renato M. A.1, Author
Wang, Zhe1, Author
Surówka, Piotr1, Author
Oka, Takashi2, Author              
Affiliations:
1External Organizations, ou_persistent22              
2Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863462              

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Free keywords: Boltzmann equation, Electric fields, Harmonic analysis, Topology, Electric field strength, Elliptically polarized laser field, Fermi velocities, Laser frequency, Non-linear response, Rotational symmetries, Topological currents, Zero temperatures, Laser theory
 Abstract: We study nonperturbatively the anomalous Hall current and its high harmonics generated in Weyl and Dirac semimetals by strong elliptically polarized laser fields in the context of kinetic theory. We find a crossover between perturbative and nonperturbative regimes characterized by the electric field strength E∗=μω2evF (ω, laser frequency; μ, Fermi energy; vF, Fermi velocity). In the perturbative regime, the anomalous Hall current depends quadratically on the field strength (E), whereas the higher-order corrections, as well as high harmonics, vanish at zero temperature. In the nonperturbative regime, the anomalous Hall current saturates and decays as (lnE)/E, while even-order high harmonics are generated when in-plane rotational symmetry is broken. Based on the analytical solution of the Boltzmann equation, we reveal the topological origin of the sharp crossover: the Weyl monopole stays inside or moves outside of the Fermi sphere, respectively, during its fictitious motion in the perturbative or nonperturbative regimes. Our findings establish a nonlinear response intrinsically connected to topology, characteristic of Weyl and Dirac semimetals. © 2021 authors. Published by the American Physical Society.

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Language(s): eng - English
 Dates: 2021-05-062021-05-06
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1103/PhysRevB.103.L201105
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 103 (20) Sequence Number: L201105 Start / End Page: 1 - 6 Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008