A holographic quantum Hall model at integer filling
Niko Jokela, Matti Jarvinen, and Matthew Lippert
TL;DR
This paper develops a holographic model for strongly-coupled fermions in 2+1 dimensions, capturing quantum Hall states at integer filling and reproducing experimental conductivity behaviors.
Contribution
It introduces a D8-brane probe model that realizes gapped quantum Hall states with filling fraction one in a holographic framework.
Findings
Reproduces quantum Hall conductivity qualitatively similar to experiments
Identifies phase structure consistent with gapped states
Shows similarities to recent D3-D7' holographic models
Abstract
We construct a holographic model of a system of strongly-coupled fermions in 2+1 dimensions based on a D8-brane probe in the background of D2-branes. The Minkowski embeddings of the D8-brane represent gapped quantum Hall states with filling fraction one. By computing the conductivity and phase structure, we find results qualitatively similar to the experimental observations and also to the recent D3-D7' model.
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