Metallic Nature of the Four-Dimensional Quantum Hall Edge
Y. D. Chong, R. B. Laughlin
TL;DR
This paper demonstrates that the edge of the four-dimensional quantum Hall fluid exhibits metallic behavior, similar to a three-dimensional free electron gas, based on density response calculations at half-filling.
Contribution
It provides the first detailed analysis of the density response of the 4D quantum Hall edge, revealing its metallic nature.
Findings
Edge behaves like a metal with free electron gas characteristics
Density-density correlation function similar to 3D free electron gas
Supports the model of emergent relativity in 4D quantum Hall system
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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