Antiferromagnetic Order of Repulsively Interacting Fermions on Optical lattices

Abstract

The Néel state in fermionic mixtures of two pseudospin species in an optical lattice is analyzed at low temperatures. Experimentally it remains a challenge to demonstrate antiferromagnetic correlations in ultracold fermionic quantum gases. We find that, while in balanced systems the Néel order parameter can point in any spatial direction, in imbalanced mixtures antiferromagnetism is strictly perpendicular to the quantization axis (i.e., the z-axis). Since, experimentally, one always has to assume some minimal imbalance this should have important consequences for ongoing experiments.

arXiv comment4 pages, 3 figures

References in corpus (22)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• A Mott insulator of fermionic atoms in an optical lattice
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Direct Observation of Second Order Atom Tunnelling
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Interaction-induced adiabatic cooling and antiferromagnetism of cold fermions in optical lattices
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Interference pattern and visibility of a Mott insulator
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Sarma Phase in Trapped Unbalanced Fermi Gases
• Achieving the Neel state in an optical lattice
• Detecting correlation functions of ultracold atoms through Fourier sampling of time-of-flight images
• Probing spatial spin correlations of ultracold gases by quantum noise spectroscopy
• Magnetic and superfluid phases of confined fermions in two-dimensional optical lattices
• Population imbalanced fermions in harmonically trapped optical lattices
• Symmetry breaking in the Hubbard model at weak coupling

Cited by in corpus (13)

• Detecting antiferromagnetism of atoms in an optical lattice via optical Bragg scattering
• Ferromagnetism of cold fermions loaded into a decorated square lattice
• Critical Entropy of Quantum Heisenberg Magnets on Simple-Cubic Lattices
• Antiferromagnetic noise correlations in optical lattices
• Canted Antiferromagnetic Order of Imbalanced Fermi-Fermi mixtures in Optical Lattices by Dynamical Mean-Field Theory
• Ground state phase diagram of the repulsive SU(3) Hubbard model in Gutzwiller approximation
• Magnetic phases of mass- and population-imbalanced ultracold fermionic mixtures in optical lattices
• Magnetic structure of an imbalanced Fermi gas in an optical lattice
• Correlated Phases of Population Imbalanced Fermi-Fermi Mixtures on an Optical Lattice
• The imbalanced antiferromagnet in an optical lattice
• Perspectives of optical lattices with state-dependent tunneling in approaching quantum magnetism in the presence of the external harmonic trapping potential
• Antiferromagnetism of Repulsively Interacting Fermions in a harmonic trap
• DMFT vs Second Order Perturbation Theory for the Trapped 2D Hubbard-Antiferromagnet