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28 March 2024
 
  » arxiv » cond-mat/0606434

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Theory of Four-dimensional Fractional Quantum Hall States
Chyh-Hong Chern ; PostScript ; PDF ; Other formats ;
Date 16 Jun 2006
Subject Strongly Correlated Electrons
AbstractWe propose a pseudo-potential Hamiltonian for the Zhang-Hu’s generalized fractional quantum Hall states to be the exact and unique ground states. Analog to Laughlin’s quasi-hole (quasi-particle), the excitations in the generalized fractional quantum Hall states are extended objects. They are hole-like (particle-like) quantum 4-branes which carry a fractional charge $+(-)1/m^3$. The density correlation function in the fractional cases is also discussed.
Source arXiv, cond-mat/0606434
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