Theory of four-dimensional fractional quantum Hall states
Journal
Annals of Physics
Journal Volume
322
Journal Issue
10
Pages
2485-2492
Date Issued
2007
Author(s)
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 +(-)1/m3 in the total configuration space CP3. The density correlation function of the Zhang-Hu states indicates that they are incompressible liquid. © 2006 Elsevier Inc. All rights reserved.
Type
journal article