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Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects

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Sundaram, Ganesh, Niu, Qian·1999·Physical Review B
DOI 10.1103/physrevb.59.14915
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Abstract

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 interband 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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Metadata

Authors
Sundaram, G., & Niu, Q.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1999-06-15
Volume
59
Issue
23
Pages
14915-14925
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
DOI
10.1103/physrevb.59.14915
OpenAlex
W2047648575
Cited by
1,046
References
5
FWCI
1.80
Type
journal article
Language
en
Open access
green
Licence
link.aps.org/licenses/aps-default-license (vor)

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CoChat. (2026). Citation check: Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects. https://app.cochat.ai/papers/10.1103/physrevb.59.14915
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Sundaram, G., & Niu, Q. (1999). Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects. Physical Review B. https://doi.org/10.1103/physrevb.59.14915

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