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Metallic Nature of the Four-Dimensional Quantum Hall Edge

Y. D. Chong·R. B. Laughlin
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Abstract

We study the density response of the four-dimensional quantum Hall fluid found by Zhang and Hu, which has been advanced as a model of emergent relativity. We calculate the density-density correlation function along the edge at half-filling, and show that it is similar to the three-dimensional free electron gas. This indicates that the edge of the four-dimensional quantum Hall fluid behaves like a metal.

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Y. D. Chong, R. B. Laughlin. 2003-05-30. Metallic Nature of the Four-Dimensional Quantum Hall Edge. https://doi.org/10.1016/s0003-4916(03)00139-8

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