Thermodynamics of strongly interacting fermions in two-dimensional optical lattices

TL;DR

This paper investigates the thermodynamic properties of strongly interacting fermions in two-dimensional optical lattices using numerical linked cluster expansions, providing insights relevant to current experimental conditions.

Contribution

It applies numerical linked cluster expansions to analyze finite-temperature properties of strongly correlated fermions in 2D optical lattices, focusing on regimes with high on-site repulsion.

Findings

Computed equation of state, double occupancy, entropy, susceptibility, and spin correlations.

Analyzed adiabatic cooling via trap flattening and increased interactions.

Results are relevant for current optical lattice experiments.

Abstract

We study finite-temperature properties of strongly correlated fermions in two-dimensional optical lattices by means of numerical linked cluster expansions, a computational technique that allows one to obtain exact results in the thermodynamic limit. We focus our analysis on the strongly interacting regime, where the on-site repulsion is of the order of or greater than the band width. We compute the equation of state, double occupancy, entropy, uniform susceptibility, and spin correlations for temperatures that are similar to or below the ones achieved in current optical lattice experiments. We provide a quantitative analysis of adiabatic cooling of trapped fermions in two dimensions, by means of both flattening the trapping potential and increasing the interaction strength.