Thermodynamics and magnetic properties of the anisotropic 3D Hubbard model

Abstract

We study the 3D Hubbard model with anisotropic nearest neighbor tunneling amplitudes using the dynamical cluster approximation and compare the results with a quantum simulation experiment using ultracold fermions in an optical lattice, focussing on magnetic correlations. 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.

5 pages, 4 figures, ancillary files contain equation of state and raw data for all figures

References in corpus (9)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The ALPS project release 1.3: open source software for strongly correlated systems
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Artificial graphene with tunable interactions
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Probing nearest-neighbor correlations of ultracold fermions in an optical lattice
• Sub-matrix updates for the Continuous-Time Auxiliary Field algorithm
• Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices
• Competition of spin and charge excitations in the Hubbard model

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