Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach

TL;DR

This paper provides an analytical study of two-dimensional Fermi gases, deriving the equation of state and Kosterlitz-Thouless transition temperature, showing deviations from mean field theory but aligning with Monte Carlo and experimental data.

Contribution

It introduces an analytical method to determine the equation of state and transition temperature in 2D Fermi gases, improving upon mean field predictions.

Findings

Analytical equations match Monte Carlo results

Significant deviation from mean field predictions

Results agree with recent cold atom experiments

Abstract

We study Fermi gases in two dimensions at low temperatures with attractive interactions. Analytical results are derived for the equation of state and the Kosterlitz-Thouless transition temperature as functions of the two-body binding energy and the density of the gas. Our results for the equation of state strongly deviate from the mean field predictions. However, they are in reasonable agreement with Monte-Carlo calculations and recent experiments with cold atomic gases.