Composite Fermion Metals from Dyon Black Holes and S-Duality
arXiv:0912.0939 · doi:10.1007/JHEP09(2010)032
Abstract
We propose that string theory in the background of dyon black holes in four-dimensional anti-de Sitter spacetime is holographic dual to conformally invariant composite Dirac fermion metal. By utilizing S-duality map, we show that thermodynamic and transport properties of the black hole match with those of composite fermion metal, exhibiting Fermi liquid-like. Built upon Dirac-Schwinger-Zwanziger quantization condition, we argue that turning on magnetic charges to electric black hole along the orbit of Gamma(2) subgroup of SL(2,Z) is equivalent to attaching even unit of statistical flux quanta to constituent fermions. Being at metallic point, the statistical magnetic flux is interlocked to the background magnetic field. We find supporting evidences for proposed holographic duality from study of internal energy of black hole and probe bulk fermion motion in black hole background. They show good agreement with ground-state energy of composite fermion metal in Thomas-Fermi approximation and cyclotron motion of a constituent or composite fermion excitation near Fermi-point.
30 pages, v2. 1 figure added, minor typos corrected; v3. revised version to be published in JHEP
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- A Comment on Holographic Luttinger Theorem
- Engineering of Quantum Hall Effect from Type IIA String Theory on The K3 Surface
- Embedding Fractional Quantum Hall Solitons in M-theory Compactifications
- Thermal Aspects of ABJM theory: Currents and Condensations
- Holographic anyonization: A systematic approach
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- Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
- Renormalization Group Flow for Noncommutative Fermi Liquids