1. Hamiltonian theory of anyons in crystals
- Author
-
Luigi Martina and Martina, Luigi
- Subjects
Statistics and Probability ,Physics ,Applied Mathematics ,General Mathematics ,Wave packet ,Berry phase ,Semiclassical physics ,Symmetry group ,Curvature ,Topological quantum computer ,Quantum mechanics ,Semiclassical approximation in crystal ,Covariant Hamiltonian field theory ,Hamiltonian systems ,Central charge ,Hamiltonian (control theory) - 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.
- Published
- 2006