Berry phase correction to electron density of states in solids

被引：471

作者：

Xiao, D ^{[1
]}

Shi, JR ^{[1
]}

Niu, Q ^{[1
]}

机构：

[1] Univ Texas, Dept Phys, Austin, TX 78712 USA

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 95卷 / 13期

关键词：

D O I：

10.1103/PhysRevLett.95.137204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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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页数：4

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