Thermodynamics and magnetic properties of the anisotropic 3D Hubbard model.
We study the anisotropic 3D Hubbard model with increased nearest-neighbor tunneling amplitudes along one direction using the dynamical cluster approximation and compare the results to a quantum simulation experiment of ultracold fermions in an optical lattice. We find that the short-range spin correlations are significantly enhanced in the direction with stronger tunneling amplitudes. Our results agree with the experimental observations and show that the experimental temperature is lower than the strong tunneling amplitude. We characterize the system by examining the spin correlations beyond neighboring sites and determine the distribution of density, entropy, and spin correlation in the trapped system. We furthermore investigate the dependence of the critical entropy at the Néel transition on anisotropy.
Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland.
Jakub
J
Imriška
Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland.
Mauro
M
Iazzi
Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland.
Lei
L
Wang
University of Michigan, Ann Arbor, Michigan 48109, USA.
Emanuel
E
Gull
Institute for Quantum Electronics, ETH Zurich, 8093 Zurich, Switzerland.
Daniel
D
Greif
Institute for Quantum Electronics, ETH Zurich, 8093 Zurich, Switzerland.
Thomas
T
Uehlinger
Institute for Quantum Electronics, ETH Zurich, 8093 Zurich, Switzerland.
Gregor
G
Jotzu
Institute for Quantum Electronics, ETH Zurich, 8093 Zurich, Switzerland and LP2N UMR 5298, Université Bordeaux 1, Institut d'Optique and CNRS, 33405 Talence, France and ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain.
Leticia
L
Tarruell
Institute for Quantum Electronics, ETH Zurich, 8093 Zurich, Switzerland.
Tilman
T
Esslinger
Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland.
Matthias
M
Troyer