Dantas, Renato M. A., Wang, Zhe ORCID: 0000-0001-7464-5408, Surowka, Piotr and Oka, Takashi (2021). Nonperturbative topological current in Weyl and Dirac semimetals in laser fields. Phys. Rev. B, 103 (20). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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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 epsilon* = mu omega/2evF (omega, laser frequency; mu, Fermi energy; v(F), Fermi velocity). In the perturbative regime, the anomalous Hall current depends quadratically on the field strength (epsilon), 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 (ln epsilon)/epsilon, 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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Dantas, Renato M. A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Wang, ZheUNSPECIFIEDorcid.org/0000-0001-7464-5408UNSPECIFIED
Surowka, PiotrUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Oka, TakashiUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-594180
DOI: 10.1103/PhysRevB.103.L201105
Journal or Publication Title: Phys. Rev. B
Volume: 103
Number: 20
Date: 2021
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2469-9969
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
NEUTRINOS; ABSENCE; LATTICEMultiple languages
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/59418

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