Theory of nonlinear Hall effects: Modified semiclassics from quantum kinetics

Xiao, Cong; Du, Z. Z.; Niu, Qian

doi:10.1103/physrevb.100.165422

Title: Theory of nonlinear Hall effects: Modified semiclassics from quantum kinetics

Journal Article · Mon Oct 28 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.100.165422· OSTI ID:1800987

^[1]; Du, Z. Z. ^[2]; Niu, Qian ^[1]

Univ. of Texas, Austin, TX (United States)
Southern University of Science and Technology, Shenzhen (China); Shenzhen Key Laboratory of Quantum Science and Engineering (China); Peng Cheng Laboratory, Shenzhen (China)

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.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); Welch Foundation

Grant/Contract Number:: FG03-02ER45958

OSTI ID:: 1800987

Journal Information:: Physical Review B, Vol. 100, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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