A Four Dimensional Generalization of the Quantum Hall Effect

Details A Four Dimensional Generalization of the Quantum Hall Effect A Four Dimensional Generalization of the Quantum Hall Effect

2001-10-27

arxiv.org/abs/cond-mat/0110572v1

Science 294:823,2001

Physics

Condensed Matter

Scientific paper

10.1126/science.294.5543.823

We 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.

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