Berry's phase and the anomalous velocity of Bloch wavepackets

Details Berry's phase and the anomalous velocity of Bloch wavepackets Berry's phase and the anomalous velocity of Bloch wavepackets

2009-12-03

arxiv.org/abs/0912.0716v2

Phys. Rev. B 81, 052303 (2010)

Physics

Condensed Matter

Other Condensed Matter

2 pages, 1 figure

Scientific paper

10.1103/PhysRevB.81.052303

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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