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[交流] 关于Berry phase 在固体物理中综述(Berry phase in solid state physics) 已有1人参与

Berry phase in solid state physics a selected overview
Ming-CheChang
Department of Physics National Taiwan Normal University
QianNiu
Department of Physics The University of Texas at Austin

Berry Phase Correction to Electron Density of States in Solids and Its Applications
Di Xiao
The University of Texas at Austin
Banff International Research Center, July 2006
Berry phase in solid state physics


Ming-Che Chang
Dept. of Physics, National Taiwan Normal Univ.
Taipei
Contents
1 Anholonomy in geometry 2
1.1 Parallel transport and anholonomy angle . . . . . . . . . . . . . . . . . . . . . 2
1.2 Moving frame and curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
2 Anholonomy in quantum mechanics 4
2.1 Introducing the Berry phase . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
2.2 A rotating solenoid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
3 Berry phase and spin systems 8
3.1 Persistent spin current . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
3.2 Magnetic cluster . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
4 Berry phase and Bloch state 12
4.1 Electric polarization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4.2 Quantum Hall effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
4.3 Anomalous Hall effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
5 Berry phase and wave-packet dynamics 19
5.1 Wave-packet dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
5.2 Non-Abelian generalization . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
6 Concluding remarks 27

Berry phase for energy band in solid
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