Eur. Phys. J. B (2016) 89: 171
https://doi.org/10.1140/epjb/e2016-70146-y

Regular Article

Thermodynamics of the Hubbard model on stacked honeycomb and square lattices^*

¹ Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland
² Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA

^a e-mail: jimriska@phys.ethz.ch

Received: 7 March 2016
Received in final form: 19 April 2016
Published online: 1 August 2016

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 Néel 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.