Field Induced Positional Shift and Second Order Semiclassical Theory for Bloch Electrons

ORAL

Abstract

We derive a positional shift due to the interband mixing induced by external electromagnetic fields. This positional shift plays a central role in the second order semiclassical theory for Bloch electrons. It also provides rich physics, e.g. the magnetoelectric coupling, the nonlinear anomalous Hall, etc. We also derive the semiclassical wave packet energy up to second order. With these two essential corrections, we show that the second order semiclassical dynamics possesses the exact same structure as the first order one, rendering a simple generalization of various response functions.

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Authors

  • Yang Gao

    UT Austin

  • Shengyuan Yang

    Singapore University of technology and design

  • Qian Niu

    University of Texas at Austin, UT Austin, Department of Physics, University of Texas at Austin, University of Texas at Austin, Austin, Texas 78712, USA, The University of Texas at Austin, Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA