Quantum Hall effect in a holographic model
By O. Bergman, Niko Jokela, G. Lifschytz, M. Lippert. 2010
134 citations recorded by the source corpus.
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. When the magnetic field is varied relative to the charge density away from these discrete filling fractions, the embeddings deform continuously into black-hole-like embeddings that enter the horizon and that describe metallic states. We also study the thermodynamics of this system and show that there is a first order phase transition at a critical temperature from the quantum Hall state to the metallic state.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9d987cd548a5b5536a8411091365b21651c4e819
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Parity-violating hydrodynamics in 2 + 1 dimensions (2011, background): “1), including the worldvolume theory of probe branes dual to flavor multiplets [65], as well as truncations of 11dimensional supergravity [66].”
- Holography of dyonic dilaton black branes (2010, background): “Discussions of holography and the quantum Hall system can be found in [12, 37, 38, 39, 40, 41].”
- Introduction to holographic superconductor models (2015, methodology): “In addition to holographic superconductors, the holographic approach has been used to understand some other aspects of condensed matter physics, including (non)Fermi liquids [206, 207, 208, 209, 210], quantum Hall effect [211, 212, 213], strange metals [214, 215, 216, 217], topological insulators [2”