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2010

Quantum Hall Effect in a Holographic Model

Bergman, Oren, Jokela, Niko, Lifschytz, Gilad et al.

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We consider a holographic description of a system of strongly coupled fermions in 2+1 dimensions based on a D7-brane probe in the background of D3-branes, and construct stable embeddings by turning on worldvolume fluxes.

We study the system at finite temperature and charge density, and in the presence of a background magnetic field.
We show that Minkowski-like embeddings that terminate above the horizon describe a family of quantum Hall states with filling fractions that are parameterized by a single discrete parameter.
The quantization of the Hall conductivity is a direct consequence of the topological quantization of the fluxes.

Quantum Hall Effect in a Holographic Model · Around

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D. K. Hong and H. U. Yee, arXiv:1003.1306 [hep-th]

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S. Hellerman and L. Susskind, arXiv:hep-th/0107200

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