Third-order carrier transport under a uniform electric field

Non-linear transport phenomena have been the focus of condensed-matter research in recent years. Especially, second-order effects, such as shift current and nonlinear Hall effect, have been intensively studied in both theory and experiment [1][2]; however, higher-than-second-order transport phenomena have not been studied as much. In this presentation, we will discuss third-order carrier transport due to a uniform electric field. Our theory can be readily implemented in first-principles computation codes.



[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