Berry phase correction to electron density of states in solids

Details Berry phase correction to electron density of states in solids Berry phase correction to electron density of states in solids

2005-02-14

arxiv.org/abs/cond-mat/0502340v2

Phys.Rev.Lett. 95, 137204 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Minor revision. Journal info update

Scientific paper

10.1103/PhysRevLett.95.137204

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.

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