BERRY PHASE CORRECTION TO ELECTRON DENSITY IN SOLIDS AND "EXOTIC" DYNAMICS

2005/06/30 by C. Duval, C. DUVAL, Z. HORVÁTH +7 · 6 citations
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #cond-mat.mes-hall #hep-th #math-ph #math.MP

paper · pdf · doi:10.1142/s0217984906010573

published as Mod.Phys.Lett. B20 (2006) 373-378 · Affiliation of the first Author expanded. One more reference added. To appear in Mod. Phys. Lett. B. 5 pages

arxiv created 2005/11/14 · openalex publication_date 2006/03/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Recent results on the semiclassical dynamics of an electron in a solid are explained using techniques developed for "exotic" Galilean dynamics. The system is indeed Hamiltonian and Liouville's theorem holds for the symplectic volume form. Suitably defined quantities satisfy hydrodynamic equations.

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