Math @ Duke
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Publications [#362815] of Jianfeng Lu
Papers Published
- Lu, J; Zhang, Z; Zhou, Z, Bloch dynamics with second order Berry phase correction,
Asymptotic Analysis, vol. 128 no. 1
(January, 2022),
pp. 55-84 [doi]
(last updated on 2024/03/28)
Abstract: We derive the semiclassical Bloch dynamics with 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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