A Four Dimensional Generalization of the Quantum Hall Effect
Condensed Matter
2011-05-05 v1 High Energy Physics - Theory
Abstract
We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible quantum liquid. Gapped elementary excitations in the bulk interior and gapless elementary excitations at the boundary are investigated.
Cite
@article{arxiv.cond-mat/0110572,
title = {A Four Dimensional Generalization of the Quantum Hall Effect},
author = {Shou-Cheng Zhang and Jiangping Hu},
journal= {arXiv preprint arXiv:cond-mat/0110572},
year = {2011}
}