Publications [#362815] of Jianfeng Lu

Papers Published

1. 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 2026/01/14)

   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.