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Bloch dynamics with second order Berry phase correction

Publication ,  Journal Article
Lu, J; Zhang, Z; Zhou, Z
December 23, 2015

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.

Duke Scholars

Publication Date

December 23, 2015
 

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Lu, J., Zhang, Z., & Zhou, Z. (2015). Bloch dynamics with second order Berry phase correction.
Lu, Jianfeng, Zihang Zhang, and Zhennan Zhou. “Bloch dynamics with second order Berry phase correction,” December 23, 2015.
Lu J, Zhang Z, Zhou Z. Bloch dynamics with second order Berry phase correction. 2015 Dec 23;
Lu J, Zhang Z, Zhou Z. Bloch dynamics with second order Berry phase correction. 2015 Dec 23;

Publication Date

December 23, 2015