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Theory of four-dimensional fractional quantum Hall states

2006/06/30 by Chyh-Hong Chern · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.str-el #hep-th

paper · pdf · doi:10.1016/j.aop.2006.11.011

published as AnnalsPhys.322:2485-2492,2007 · 4 pages

arxiv created 2006/08/28 · openalex publication_date 2007/01/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

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.

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