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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/1695878
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