Theory of Four-dimensional Fractional Quantum Hall States
arXiv:cond-mat/0606434 · doi:10.1016/j.aop.2006.11.011
Abstract
We propose a pseudo-potential Hamiltonian for the Zhang-Hu's generalized fractional quantum Hall states to be the exact and unique ground states. Analogously to Laughlin's quasi-hole (quasi-particle), the excitations in the generalized fractional quantum Hall states are extended objects. They are vortex-like excitations with fractional charges in the total configuration space CP. The density correlation function of the Zhang-Hu states indicates that they are incompressible liquid.
4 pages