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arXiv · 0912.0716

Berry's phase and the anomalous velocity of Bloch wavepackets

Y. D. Chong
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Abstract

The semiclassical equations of motion for a Bloch electron include an anomalous velocity term analogous to a $k$-space "Lorentz force", with the Berry connection playing the role of a vector potential. By examining the adiabatic evolution of Bloch states in a monotonically-increasing vector potential, I show that the anomalous velocity can be explained as the difference in the Berry's phase acquired by adjacent Bloch states within a wavepacket.

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Y. D. Chong. 2010-01-25. Berry's phase and the anomalous velocity of Bloch wavepackets. https://doi.org/10.1103/physrevb.81.052303

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