Dense Chern-Simons Matter with Fermions at Large N

TL;DR

This paper explores the properties of Chern-Simons theory coupled to massive fermions at large N, revealing Fermi liquid behavior, exact transport coefficients, and novel thermodynamic phenomena at strong coupling.

Contribution

It provides a systematic comparison of the theory's Fermi liquid features with Landau theory and uncovers new thermodynamic regimes at strong coupling.

Findings

Fermi liquid behavior at low temperatures matches Landau theory.

Exact calculations of conductivity and viscosity tensors.

Discovery of a weakly coupled quantum Bose gas regime at strong coupling.

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.