Spin-Hall effect with quantum group symmetry
High Energy Physics - Theory
2009-11-11 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Quantum Algebra
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.
Cite
@article{arxiv.hep-th/0504092,
title = {Spin-Hall effect with quantum group symmetry},
author = {Giovanni Landi},
journal= {arXiv preprint arXiv:hep-th/0504092},
year = {2009}
}
Comments
v2: 14 pages, latex. Several changes and additional material; two extra sections added. To appear in LMP. Dedicated to Rafael Sorkin with friendship and respect