Ultra-cold fermions in the flatland: evolution from BCS to Bose superfluidity in two-dimensions with spin-orbit and Zeeman fields

TL;DR

This paper explores the transition from BCS to Bose superfluidity in two-dimensional ultracold fermions influenced by spin-orbit and Zeeman fields, analyzing thermodynamic and topological properties to characterize phases.

Contribution

It provides a comprehensive analysis of superfluid phases in 2D fermionic systems with spin-orbit and Zeeman effects, including topological invariants and thermodynamic properties.

Findings

Identification of different superfluid phases via thermodynamic properties

Calculation of topological invariants for each phase

Analysis of momentum distribution and polarization effects

Abstract

We discuss the evolution from BCS to Bose superfluidity for ultracold fermions in two-dimensions and in the presence of simultaneous spin-orbit and Zeeman fields. We analyze several thermodynamic properties to characterize different superfluid phases including pressure, compressibility, induced polarization, and spin susceptibility. Furthermore, we compute the momentum distribution and construct topological invariants for each of the superfluid phases.