Theory of four-dimensional fractional quantum Hall states

摘要

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 (quasiparticle), the excitations in the generalized fractional quantum Hall states are extended objects. They are vortex-like excitations with fractional charges +(-)1/m(3) in the total configuration space CP3. The density correlation function of the Zhang-Hu states indicates that they are incompressible liquid. (c) 2006 Elsevier Inc. All rights reserved.