Semiclassical wave packets for electrons in crystals, subject to an external electromagnetic field, satisfy Hamiltonian equations. In (2+1)-dimensions and in the limit of uniform fields, the symmetry group results in a two-folded Galilei algebra, incorporating an “exotic” central charge. It has the physical meaning of the Berry-phase curvature. In the Hamiltonian scheme, we discuss possible deformations of that algebra and the physical meaning.

Hamiltonian theory of anyons in crystals

MARTINA, Luigi
2006

Abstract

Semiclassical wave packets for electrons in crystals, subject to an external electromagnetic field, satisfy Hamiltonian equations. In (2+1)-dimensions and in the limit of uniform fields, the symmetry group results in a two-folded Galilei algebra, incorporating an “exotic” central charge. It has the physical meaning of the Berry-phase curvature. In the Hamiltonian scheme, we discuss possible deformations of that algebra and the physical meaning.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11587/104814
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