Magnetic and superfluid phases of confined fermions in two-dimensional optical lattices

Abstract

We examine antiferromagnetic and d-wave superfluid phases of cold fermionic atoms with repulsive interactions in a two-dimensional optical lattice combined with a harmonic trapping potential. For experimentally realistic parameters, the trapping potential leads to the coexistence of magnetic and superfluid ordered phases with the normal phase. We study the intriguing shell structures arising from the competition between the magnetic and superfluid order as a function of the filling fraction. In certain cases antiferromagnetism induce superfluidity by charge redistributions. We furthermore demonstrate how these shell structures can be detected as distinct anti-bunching dips and pairing peaks in the density-density correlation function probed in expansion experiments.

arXiv comment4 pages, 3 figures

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• Antiferromagnetic noise correlations in optical lattices
• Canted Antiferromagnetic Order of Imbalanced Fermi-Fermi mixtures in Optical Lattices by Dynamical Mean-Field Theory
• Noise correlations of the ultra-cold Fermi gas in an optical lattice
• Magnetic structure of an imbalanced Fermi gas in an optical lattice
• Antiferromagnetic Order of Repulsively Interacting Fermions on Optical lattices
• Hubbard model calculations of phase separation in optical lattices
• Spatially-modulated Superfluid States in Fermionic Optical Ladder Systems with Repulsive Interactions
• Supersolid phases of dipolar fermions in a two-dimensional-lattice bilayer array
• Measuring spin correlations in optical lattices using superlattice potentials
• Crossovers in Unitary Fermi Systems
• Density-Wave and Antiferromagnetic States of Fermionic Atoms in Optical Lattices
• Spin-orbit coupled repulsive Fermi atoms in a one-dimensional optical lattice
• d-wave Superfluid with Gapless Edges in a Cold Atom Trap
• Inducing spin-dependent tunneling to probe magnetic correlations in optical lattices
• Antiferromagnetism of Repulsively Interacting Fermions in a harmonic trap
• Using superlattice potentials to probe long-range magnetic correlations in optical lattices
• DMFT vs Second Order Perturbation Theory for the Trapped 2D Hubbard-Antiferromagnet