几何相位
浆果
动力学(音乐)
物理
凝聚态物理
相(物质)
波包
量子电动力学
量子力学
生物
声学
植物
作者
Ganesh Sundaram,Qian Niu
出处
期刊:Physical review
日期:1999-06-15
卷期号:59 (23): 14915-14925
被引量:820
标识
DOI:10.1103/physrevb.59.14915
摘要
We present a unified theory for wave-packet dynamics of electrons in crystals subject to perturbations varying slowly in space and time. We derive the wave-packet energy up to the first order gradient correction and obtain all kinds of Berry-phase terms for the semiclassical dynamics and the quantization rule. For electromagnetic perturbations, we recover the orbital magnetization energy and the anomalous velocity purely within a single-band picture without invoking inter-band couplings. For deformations in crystals, besides a deformation potential, we obtain a Berry-phase term in the Lagrangian due to lattice tracking, which gives rise to new terms in the expressions for the wave-packet velocity and the semiclassical force. For multiple-valued displacement fields surrounding dislocations, this term manifests as a Berry phase, which we show to be proportional to the Burgers vector around each dislocation.
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