Thermodynamics of the Hubbard model on stacked honeycomb and square lattices

TL;DR

This study numerically investigates the thermodynamics of the Hubbard model on stacked honeycomb and square lattices, providing data on transition temperatures, entropies, and correlations relevant for ultracold atom experiments.

Contribution

It offers new numerical results on the thermodynamics and correlations of the Hubbard model on stacked lattices, aiding experimental comparisons and understanding of cooling mechanisms.

Findings

Enhanced short-range correlations in anisotropic lattices.

Data on Néel transition temperatures and entropies.

Potential for interaction-driven adiabatic cooling.

Abstract

We present a numerical study of the Hubbard model on simply stacked honeycomb and square lattices, motivated by a recent experimental realization of such models with ultracold atoms in optical lattices. We perform simulations with different interlayer coupling and interaction strengths and obtain N\'eel transition temperatures and entropies. We provide data for the equation of state to enable comparisons of experiments and theory. We find an enhancement of the short-range correlations in the anisotropic lattices compared to the isotropic cubic lattice, in parameter regimes suitable for the interaction driven adiabatic cooling.