Critical temperature and phase diagram for a 2D superfluid Fermi-gas with repulsion

TL;DR

This paper investigates the critical temperature and phase diagram of a two-dimensional superfluid Fermi gas with repulsive interactions, using the Kohn-Luttinger effect and strong-coupling corrections, with implications for real systems.

Contribution

It provides a theoretical analysis of superfluid transition temperatures and phase stability in 2D Fermi gases with repulsion, incorporating strong-coupling effects and magnetic field dependence.

Findings

Calculated critical temperature using Kohn-Luttinger effect.

Analyzed the influence of magnetic field on superfluid phases.

Discussed stability of 2D superfluid phases with strong-coupling corrections.

Abstract

In the framework of a 2D Fermi-gas with short-range repulsive interaction we find the critical temperature of the superfluid phase transition based on Kohn-Luttinger effect, and analyze its dependence on magnetic field. We calculate strong-coupling corrections to the Ginzburg-Landau free energy functional and analyze the staibility of 2D superfluid phases. Possible applications of the results to real systems are discussed.