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A Four Dimensional Generalization of the Quantum Hall Effect

Shou-Cheng Zhang·Jiangping Hu
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Abstract

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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Shou-Cheng Zhang, Jiangping Hu. 2001-10-27. A Four Dimensional Generalization of the Quantum Hall Effect. https://doi.org/10.1126/science.294.5543.823

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