Theory of Four-dimensional Fractional Quantum Hall States
Strongly Correlated Electrons
2008-11-26 v3 High Energy Physics - Theory
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.
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Cite
@article{arxiv.cond-mat/0606434,
title = {Theory of Four-dimensional Fractional Quantum Hall States},
author = {Chyh-Hong Chern},
journal= {arXiv preprint arXiv:cond-mat/0606434},
year = {2008}
}
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4 pages