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Article overview
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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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