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26 April 2024
 
  » arxiv » cond-mat/0110572

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A Four Dimensional Generalization of the Quantum Hall Effect
Shou-Cheng Zhang ; Jiangping Hu ;
Date 27 Oct 2001
Journal Science 294 (2001) 823
Subject cond-mat hep-th
AbstractWe construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible quantum liquid. Gapped elementary excitations in the bulk interior and gapless elementary excitations at the boundary are investigated.
Source arXiv, cond-mat/0110572
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