Néel transition of lattice fermions in a harmonic trap: a real-space DMFT study

Abstract

We study the magnetic ordering transition for a system of harmonically trapped ultracold fermions with repulsive interactions in a cubic optical lattice, within a real-space extension of dynamical mean-field theory (DMFT). Using a quantum Monte Carlo impurity solver, we establish that antiferromagnetic correlations are signaled, at strong coupling, by an enhanced double occupancy. This signature is directly accessible experimentally and should be observable well above the critical temperature for long-range order. Dimensional aspects appear less relevant than naively expected.

4 pages, 4 figures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
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• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Kondo proximity effect: How does a metal penetrate into a Mott insulator?
• Interaction-Induced Adiabatic Cooling for Antiferromagnetism in Optical Lattices
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Cited by in corpus (9)

• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Dynamical Mean-Field Theory for Molecular Electronics: Electronic Structure and Transport Properties
• Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets
• Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
• Effect of particle statistics in strongly correlated two-dimensional Hubbard models
• Advantages of Mass-Imbalanced Ultracold Fermionic Mixtures for Approaching Quantum Magnetism in Optical Lattices
• Canted Antiferromagnetic Order of Imbalanced Fermi-Fermi mixtures in Optical Lattices by Dynamical Mean-Field Theory
• Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices
• Quantum Monte Carlo simulations of antiferromagnetism in ultracold fermions on optical lattices within real-space dynamical mean-field theory