Third-order nonlinear Hall effect in two-dimensional Dirac systems

We theoretically investigate the third-order nonlinear Hall effect by employing the quantum kinetic equation and present an analytic formula for the third-order harmonic conductivity, where the intraband and the mixed inter-band contributions caused by the external electric field as well as the mult...

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Bibliographic Details
Published in:New journal of physics 2023-05, Vol.25 (5), p.53013
Main Authors: Gao, Yang, Zhang, Zhi-Qiang, Ding, Kai-He
Format: Article
Language:English
Subjects:
Approximation
Dirac system
Electric fields
Electromagnetism
Kinetic equations
nonlinear Hall effect
Physics
Quantum Hall effect
Science
third harmonic generation
Valence band
Velocity
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Summary:We theoretically investigate the third-order nonlinear Hall effect by employing the quantum kinetic equation and present an analytic formula for the third-order harmonic conductivity, where the intraband and the mixed inter-band contributions caused by the external electric field as well as the multiphoton process dressed Berry curvature are unveiled. These results are applied in a two-dimensional Dirac system. We find that the third-order harmonic conductivity exhibits a crossover from the negative to positive value due to the intraband transition of the electrons in the low-frequency region, whereas a kink or dip structure due to the multiphoton process between the conduction and valence bands in the high-frequency region. In experiment, these features can be identified by detecting the transverse current. Our work deepens the understanding of the multiphoton process in the nonlinear transport of topological materials and enlightens a possible way to its characterization in experiments.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/acd2f8