N\'eel temperature and thermodynamics of the half-filled 3D Hubbard model by Diagrammatic Determinant Monte Carlo

TL;DR

This paper uses advanced Monte Carlo simulations to precisely analyze the thermodynamics and Ne9el transition of the half-filled 3D Hubbard model, providing benchmarks for experimental realization in ultracold atoms.

Contribution

It offers the most accurate unbiased estimates of the Ne9el transition temperature and thermodynamic properties for the 3D Hubbard model at half filling.

Findings

Transition temperature in the strongly correlated regime determined

Temperature dependence of energy, entropy, double occupancy, and spin correlations characterized

Provides benchmarks for ultracold atom experiments

Abstract

We study thermodynamics of the 3D Hubbard model at half filling on approach to the N\'eel transition by means of large-scale unbiased Diagrammatic Determinant Monte Carlo simulations. We obtain the transition temperature in the strongly correlated regime, as well as temperature dependence of energy, entropy, double occupancy, and the nearest-neighbor spin correlation function. Our results improve the accuracy of previous unbiased studies and present accurate benchmarks in the ongoing effort to realize the antiferromagnetic state of matter with ultracold atoms in optical lattices.