Berry’s phase and the anomalous velocity of Bloch wavepackets
Date of Issue2010
School of Physical and Mathematical Sciences
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.
Physical review B
© 2010 The American Physical Society. This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of The American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevB.81.052303. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.