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
2006-01-01

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: https://hdl.handle.net/11587/104814
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