Phys. Rev. Lett. 95, 137204 (2005) [4 pages]Berry Phase Correction to Electron Density of States in SolidsSee Also: Publisher's Note Received 14 February 2005; published 22 September 2005; corrected 5 October 2005 Liouville’s theorem on the conservation of phase-space volume is violated by Berry phase in the semiclassical dynamics of Bloch electrons. This leads to a modification of the phase-space density of states, whose significance is discussed in a number of examples: field modification of the Fermi-sea volume, connection to the anomalous Hall effect, and a general formula for orbital magnetization. The effective quantum mechanics of Bloch electrons is also sketched, where the modified density of states plays an essential role. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.137204
DOI:
10.1103/PhysRevLett.95.137204
PACS:
73.43.−f, 72.15.−v, 75.20.−g
See AlsoComment: C. Duval, Z. Horváth, P. A. Horváthy, L. Martina, and P. C. Stichel, Comment on “Berry Phase Correction to Electron Density of States in Solids”, Phys. Rev. Lett. 96, 099701 (2006). Publisher's Note: Di Xiao, Junren Shi, and Qian Niu, Publisher’s Note: Berry Phase Correction to Electron Density of States in Solids [Phys. Rev. Lett. 95, 137204 (2005)], Phys. Rev. Lett. 95, 169903 (2005). Reply: Di Xiao, Junren Shi, and Qian Niu, Xiao et al. Reply:, Phys. Rev. Lett. 96, 099702 (2006). |
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