Effects of anisotropy in simple lattice geometries on many-body properties of ultracold fermions in optical lattices

Abstract

We study the effects of anisotropic hopping amplitudes on quantum phases of ultracold fermions in optical lattices described by the repulsive Fermi-Hubbard model. In particular, using dynamical mean-field theory (DMFT) we investigate the dimensional crossover between the isotropic square and the isotropic cubic lattice. We analyze the phase transition from the antiferromagnetic to the paramagnetic state and observe a significant change in the critical temperature: Depending on the interaction strength, the anisotropy can lead to both a suppression or increase. We also investigate the localization properties of the system, such as the compressibility and double occupancy. Using the local density approximation in combination with DMFT we conclude that density profiles can be used to detect the mentioned anisotropy-driven transitions.

10 pages, 8 figures

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• Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model
• Orbital ordering of ultracold alkaline-earth atoms in optical lattices
• Orbital magnetism of ultracold fermionic gases in a lattice: dynamical mean-field approach
• Anisotropy-driven magnetic phase transitions in SU(4)-symmetric Fermi gas in three-dimensional optical lattices