title: Thermodynamics of the 3D Hubbard model on approaching the Néel transition.
abstract: We study the thermodynamic properties of the 3D Hubbard model for temperatures down to the Néel temperature by using cluster dynamical mean-field theory. In particular, we calculate the energy, entropy, density, double occupancy, and nearest-neighbor spin correlations as a function of chemical potential, temperature, and repulsion strength. To make contact with cold-gas experiments, we also compute properties of the system subject to an external trap in the local density approximation. We find that an entropy per particle S/N ≈ 0.65(6) at U/t = 8 is sufficient to achieve a Néel state in the center of the trap, substantially higher than the entropy required in a homogeneous system. Precursors to antiferromagnetism can clearly be observed in nearest-neighbor spin correlators.
authors.affiliation: Institut für Theoretische Physik, Georg-August-Universität Göttingen, 37077 Göttingen, Germany.
authors.forename: Sebastian
authors.initials: S
authors.lastname: Fuchs
authors.forename: Emanuel
authors.initials: E
authors.lastname: Gull
authors.forename: Lode
authors.initials: L
authors.lastname: Pollet
authors.forename: Evgeni
authors.initials: E
authors.lastname: Burovski
authors.forename: Evgeny
authors.initials: E
authors.lastname: Kozik
authors.forename: Thomas
authors.initials: T
authors.lastname: Pruschke
authors.forename: Matthias
authors.initials: M
authors.lastname: Troyer