Berry phase correction to electron density of states in solids
Mesoscale and Nanoscale Physics
2011-11-09 v2
Abstract
Liouville's theorem on the conservation of phase space volume is violated by Berry phase in the semiclassical dynamics of Bloch electrons. This leads to a modification of the phase space density of states, whose significance is discussed in a number of examples: field modification of the Fermi-sea volume, connection to the anomalous Hall effect, and a general formula for orbital magnetization. The effective quantum mechanics of Bloch electrons is also sketched, where the modified density of states plays an essential role.
Keywords
Cite
@article{arxiv.cond-mat/0502340,
title = {Berry phase correction to electron density of states in solids},
author = {Di Xiao and Junren Shi and Qian Niu},
journal= {arXiv preprint arXiv:cond-mat/0502340},
year = {2011}
}
Comments
Minor revision. Journal info update