Maximizing the Neel temperature of fermions in a simple-cubic optical lattice

Abstract

For a simple-cubic optical lattice with lattice spacing d, occupied by two species of fermionic atoms of mass m that interact repulsively, we ask what conditions maximize the Neel temperature in the Mott insulating phase at density one atom per site, with equal numbers of the two species. This maximum occurs near the edge of the regime where the system is well-approximated by the usual Hubbard model. The correction to the Hubbard-model approximation that produces a "direct" ferromagnetic interaction between atoms in nearest-neighbor Wannier orbitals is the leading term that limits how high the Neel temperature can be made.

4 pages, 3 figures, minor changes. A new paper, arXiv:0903.0108, expands on this paper and contains most of its results

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• Many-Body Physics with Ultracold Gases
• A Mott insulator of fermionic atoms in an optical lattice
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• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
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• Achieving the Neel state in an optical lattice

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• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Detecting antiferromagnetism of atoms in an optical lattice via optical Bragg scattering
• Ferromagnetism of cold fermions loaded into a decorated square lattice
• Enlarging and cooling the Néel state in an optical lattice
• Ferromagnetism of a Repulsive Atomic Fermi Gas in an Optical Lattice: a Quantum Monte Carlo Study
• Critical Entropy of Quantum Heisenberg Magnets on Simple-Cubic Lattices
• Pair tunneling, phase separation and dimensional crossover in imbalanced fermionic superfluids in a coupled array of tubes
• On-site correlations in optical lattices: band mixing to coupled quantum Hall puddles
• Pairing instabilities in quasi-two-dimensional Fermi gases
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• Effective single-band models for strongly interacting fermions in an optical lattice