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Spin-Hall effect with quantum group symmetry

Giovanni Landi
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Abstract

We construct a model of spin-Hall effect on a noncommutative 4 sphere with isospin degrees of freedom (coming from a noncommutative instanton) and invariance under a quantum orthogonal group. 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 noncommutative spheres and noncommutative projective spaces.

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Giovanni Landi. 2006-01-10. Spin-Hall effect with quantum group symmetry. https://doi.org/10.1007/s11005-005-0040-8

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