Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect
介观与纳米尺度物理
2009-11-11 v2 统计力学
摘要
We propose a gauge invariant expression for the side jump associated with scattering between particular Bloch states. Our expression for the side jump follows from the Born series expansion for the scattering T-matrix in powers of the strength of the scattering potential. Given our gauge invariant side jump expression, it is possible to construct a semiclassical Boltzmann theory of the anomalous Hall effect which expresses all previously identified contributions in terms of gauge invariant quantities and does not refer explicitly to off-diagonal terms in the density-matrix response.
引用
@article{arxiv.cond-mat/0511310,
title = {Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect},
author = {N. A. Sinitsyn and Q. Niu and A. H. MacDonald},
journal= {arXiv preprint arXiv:cond-mat/0511310},
year = {2009}
}
备注
6 pages, 1 fugure. submitted to PRB