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arXiv · 1512.07357

Bloch dynamics with second order Berry phase correction

Jianfeng Lu·Zihang Zhang·Zhennan Zhou
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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.

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Jianfeng Lu, Zihang Zhang, Zhennan Zhou. 2015-12-23. Bloch dynamics with second order Berry phase correction. https://arxiv.org/abs/1512.07357

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