Dense Chern-Simons Matter with Fermions at Large N

Abstract

In this paper we investigate properties of Chern-Simons theory coupled to massive fermions in the large N limit. We demonstrate that at low temperatures the system is in a Fermi liquid state whose features can be systematically compared to the standard phenomenological theory of Landau Fermi liquids. This includes matching microscopically derived Landau parameters with thermodynamic predictions of Landau Fermi liquid theory. We also calculate the exact conductivity and viscosity tensors at zero temperature and finite chemical potential. In particular we point out that the Hall conductivity of an interacting system is not entirely accounted for by the Berry flux through the Fermi sphere. Furthermore, investigation of the thermodynamics in the non-relativistic limit reveals novel phenomena at strong coupling. As the 't Hooft coupling approaches 1, the system exhibits an extended intermediate temperature regime in which the thermodynamics is described by neither the quantum Fermi liquid theory nor the classical ideal gas law. Instead, it can be interpreted as a weakly coupled quantum Bose gas.

References in corpus (3)

• Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
• Unitarity, Crossing Symmetry and Duality in the scattering of $\mathcal{N}=1$ Susy Matter Chern-Simons theories
• Chern-Simons-Fermion Vector Model with Chemical Potential

Cited by in corpus (17)

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• All tree level scattering amplitudes in Chern-Simons theories with fundamental matter
• Non-Abelian bosonization and modular transformation approach to superuniversality
• Vector model in various dimensions
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Large Charge Sector of 3d Parity-Violating CFTs
• Correlation functions in $\mathcal{N}=2$ Supersymmetric vector matter Chern-Simons theory
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Anyonic correlation functions in Chern-Simons matter theories
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Large N Thirring Matter in Three Dimensions