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Berry’s phase and the anomalous velocity of Bloch wavepackets

2009/12/31 by Y. D. Chong · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Mechanical and Optical Resonators #Topological Materials and Phenomena #cond-mat.other

paper · pdf · doi:10.1103/physrevb.81.052303

published as Phys. Rev. B 81, 052303 (2010) · 2 pages, 1 figure

arxiv created 2010/01/25 · openalex publication_date 2010/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Berry's phase acquired by adjacent Bloch states within a wavepacket.

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