Berry phase correction to electron density of states in solids

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-...

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Bibliographic Details
Published in:Physical review letters 2005-09, Vol.95 (13), p.137204.1-137204.4, Article 137204
Main Authors: Xiao, Di, Shi, Junren, Niu, Qian
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electron states
Exact sciences and technology
Methods of electronic structure calculations
Physics
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.95.137204