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28 March 2024
 
  » arxiv » 1907.0577

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Theory of nonlinear Hall effects: renewed semiclassics from quantum kinetics
Cong Xiao ; Z. Z. Du ; Qian Niu ;
Date 1 Jul 2019
AbstractWe propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a new contribution that is missed in previous studies. This term has no counterpart in linear response and is related to the interband Berry connection, following from the interband effect of dc electric-fields during scattering. As an application, we show that the contribution by this new term to the second-order nonlinear Hall effect is of similar magnitude to the previously identified ones in the tilted massive Dirac model. The intuitive Boltzmann constructions are confirmed by a quantum kinetic theory, which shows that 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.
Source arXiv, 1907.0577
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