We construct a model of spin-Hall effect on a noncommutative four sphere with isospin degrees of freedom, coming from a noncommutative instanton, and invariance under a quantum group SO(5). The corresponding representation theory allows to explicitly diagonalize the Hamiltonian and construct the ground state; there are both integer and fractional excitations. Similar models exist on higher dimensional spheres and projective spaces.
Spin-Hall effect with quantum group symmetries
LANDI, GIOVANNI
2006-01-01
Abstract
We construct a model of spin-Hall effect on a noncommutative four sphere with isospin degrees of freedom, coming from a noncommutative instanton, and invariance under a quantum group SO(5). The corresponding representation theory allows to explicitly diagonalize the Hamiltonian and construct the ground state; there are both integer and fractional excitations. Similar models exist on higher dimensional spheres and projective spaces.File in questo prodotto:
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