Nonlinear carrier transport under a uniform electric field.

In recent years, non-linear transport phenomena, particularly the shift current and nonlinear Hall effect, have been the focus of condensed matter research [1][2]. However, theoretical research on higher-than-second-order transport has not been performed as extensively as research on second-order transport phenomena. In this presentation, we will discuss third-order carrier transport due to a uniform electric field, taking into account both the change in the energy eigenvalues and wavefunctions of electrons and solving the Boltzmann transport equation.

[1] Z. Dai and A. M. Rappe, Recent progress in the theory of bulk photovoltaic effect, Chem. Phys. Rev. 4, 011303 (2023).

[2] Du, Z.Z., Lu, HZ. & Xie, X.C. Nonlinear Hall effects. Nat Rev Phys 3, 744–752 (2021). https://doi.org/10.1038/s42254-021-00359-6