Bloch dynamics with second order Berry phase correction
Analysis of PDEs
2020-04-15 v4
Abstract
We derive the semiclassical Bloch dynamics with the second-order Berry phase correction in the presence of the slow-varying scalar potential as perturbation. Our mathematical derivation is based on a two-scale WKB asymptotic analysis. For a uniform external electric field, the bi-characteristics system after a positional shift introduced by Berry connections agrees with the recent result in previous works. Moreover, for the case with a linear external electric field, we show that the extra terms arising in the bi-characteristics system after the positional shift are also gauge independent.
Keywords
Cite
@article{arxiv.1512.07357,
title = {Bloch dynamics with second order Berry phase correction},
author = {Jianfeng Lu and Zihang Zhang and Zhennan Zhou},
journal= {arXiv preprint arXiv:1512.07357},
year = {2020}
}