From Equilibrium to Transport Properties of Strongly Correlated Fermi Liquids

TL;DR

This paper reviews the equilibrium and non-equilibrium properties of strongly correlated Fermi liquids near unitarity, using effective field theory and kinetic theory to connect theoretical predictions with experimental data.

Contribution

It introduces a low energy effective Lagrangian for Fermi gases at infinite scattering length and combines it with kinetic theory to compute transport properties like shear viscosity.

Findings

Effective Lagrangian derived using epsilon-expansion.

Shear viscosity computed and compared with experiments.

Agreement between kinetic theory predictions and experimental damping data.

Abstract

We summarize recent results regarding the equilibrium and non-equilibrium behavior of cold dilute atomic gases in the limit in which the two body scattering length a goes to infinity. In this limit the system is described by a Galilean invariant (non-relativistic) conformal field theory. We discuss the low energy effective lagrangian appropriate to the limit a->infinity, and compute low energy coefficients using an epsilon-expansion. We also show how to combine the effective lagrangian with kinetic theory in order to compute the shear viscosity, and compare the kinetic theory predictions to experimental results extracted from the damping of collective modes in trapped Fermi gases.