N ov 2 00 5 Berry phase correction to electron density in solids and “ exotic ” dynamics
نویسندگان
چکیده
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. cond-mat/0506051. to appear in Mod. Phys. Lett. B. mailto: [email protected] UMR 6207 du CNRS associée aux Universités d’Aix-Marseille I et II et Université du Sud Toulon-Var; Laboratoire affilié à la FRUMAM-FR2291 e-mail: [email protected] e-mail: [email protected] e-mail: [email protected] e-mail: [email protected]
منابع مشابه
Berry Phase Correction to Electron Density in Solids and " Exotic " Dynamics
Recent results of Xiao, Shi and Niu [cond-mat/0502340] on the semiclassical dynamics of an electron in a solid are related to “exotic” Galilean dynamics. The dynamics is indeed Hamiltonian and the validity of Liouville’s theorem is restored if the symplectic volume form is used.
متن کاملComment on "Berry phase correction to electron density of states in solids".
Recent results of Xiao, Shi and Niu [cond-mat/0502340] on the semiclassical dynamics of an electron in a solid are related to “exotic” Galilean dynamics. The dynamics is Hamiltonian in a generalized sense and the validity of Liouville’s theorem is restored if the symplectic volume form is used.
متن کاملSe p 20 05 Berry phase correction to electron density in solids and “ exotic ” dynamics
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. cond-mat/0506051. Revised version. e-mail: [email protected] e-mail: [email protected]...
متن کاملComment on “ Berry phase correction to electron density in solids ”
Comment on " Berry phase correction to electron density in solids " by Xiao et al. Abstract The main result of Xiao et al. In a recent paper on the semiclassical dynamics of a Bloch electron, Xiao, Shi and Niu [1] claim that, due to a Berry curvature term, Liouville's theorem on the conservation of the phase-space volume element would be violated, a fact which would have been overlooked so far....
متن کاملHamiltonian mechanics.
Comment on " Berry phase correction to electron density in solids " by Xiao et al. Abstract The main result of Xiao et al. In a recent paper on the semiclassical dynamics of a Bloch electron, Xiao, Shi and Niu [1] claim that, due to a Berry curvature term, Liouville's theorem on the conservation of the phase-space volume element would be violated, a fact which would have been overlooked so far....
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