Quantum transport theory: numerics and dynamics

ORAL

Abstract

In recent years a number of systems have been identified in which momentum-space Berry phases play an important role in determining transport coefficients. Examples include the anomalous and spin Hall effects in spintronics and the negative magnetoresistance of Weyl semimetals. A convenient quantum kinetic formalism has recently been developed which is intended to allow these transport effects to be evaluated in real materials. As discussed in Refs. [1, 2], the formalism treats linear response to static electric field and nonlinear response to static magnetic field in the low-field regime. We present a numerical implementation of this formalism, validated by comparing with analytic results for simple models but applicable to general tight-binding models. We also discuss the extension of this formalism to consider nonlinear response to a time-varying electric field, with potential application to the valley Hall effect.

[1] D. Culcer, A. Sekine, and A. H. MacDonald, Phys. Rev. B 96, 035106 (2017).
[2] A. Sekine, D. Culcer, and A. H. MacDonald, arXiv:1706.01200.

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Presenters

  • Timothy Lovorn

    Department of Physics, The University of Texas at Austin, University of Texas

Authors

  • Timothy Lovorn

    Department of Physics, The University of Texas at Austin, University of Texas

  • Akihiko Sekine

    The University of Texas at Austin, Department of Physics, The University of Texas at Austin

  • Allan MacDonald

    Physics department, University of Texas at Austin, Physics, University of Texas, Austin, Department of Physics, The University of Texas at Austin, Physics , Univ of Texas, Austin, Univ of Texas at Austin, Physics, The University of Texas at Austin, Department of Physics, Univerisity of Texas at Austin, The University of Texas at Austin, University of Texas