4.5 Article

Berry phase correction to electron density in solids and exotic dynamics

Journal

MODERN PHYSICS LETTERS B
Volume 20, Issue 7, Pages 373-378

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984906010573

Keywords

electrons; solids; semiclassical dynamics; Berry phase; Hamiltonian mechanics; Liouville's theorem

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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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