Dipolar fermions in a two-dimensional lattice at non-zero temperature

TL;DR

This paper investigates the phase behavior of dipolar fermions in a 2D lattice at finite temperature, focusing on density order and superfluidity, and determines critical temperatures and effects of trapping.

Contribution

It provides a detailed analysis of phase transitions and critical temperatures for dipolar fermions in a 2D lattice, including effects of external trapping potentials.

Findings

Critical temperature of density ordered phases proportional to coupling strength.

BKT transition temperature of superfluid phase proportional to hopping in strong coupling.

External harmonic trap influences phase behavior and critical temperatures.

Abstract

We examine density ordered and superfluid phases of fermionic dipoles in a two-dimensional square lattice at non-zero temperature. The critical temperature of the density ordered phases is determined and is shown to be proportional to the coupling strength for strong coupling. We calculate the superfluid fraction and demonstrate that the Berezinskii-Kosterlitz-Thouless transition temperature of the superfluid phase is proportional to the hopping matrix element in the strong coupling limit. We finally analyze the effects of an external harmonic trapping potential.