Orbital magnetism of ultracold fermionic gases in a lattice: dynamical mean-field approach

Abstract

We study finite-temperature properties of ultracold four-component mixtures of alkaline-earth-like atoms in optical lattices that can be effectively described by the two-band spin-$1/2$ Hubbard model including the Hund's exchange coupling term. Our main goal is to investigate the effect of exchange interactions on finite-temperature magnetic phases for a wide range of lattice fillings. We use the dynamical mean-field theory approach and its real-space generalization to obtain finite-temperature phase diagrams including transitions to magnetically-ordered phases. It allows to determine optimal experimental regimes for approaching long-range ferromagnetic ordering in ultracold gases. We also calculate the entropy in the vicinity of magnetically-ordered phases, which provides quantitative predictions for on-going and future experiments aiming at approaching and studying long-range ordered states in optical lattices.

9 pages, 6 figures, v2 matches published version

References in corpus (21)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Continuous-time Monte Carlo methods for quantum impurity models
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• A one-dimensional liquid of fermions with tunable spin
• Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Ultracold fermions and the SU(N) Hubbard model
• Molecules of Fermionic Atoms in an Optical Lattice
• Direct observation of coherent inter-orbital spin-exchange dynamics
• 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
• Finite temperature phase diagram of a polarized Fermi gas in an optical lattice
• FFLO state in 1, 2, and 3 dimensional optical lattices combined with a non-uniform background potential
• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
• Effect of interactions on harmonically confined Bose-Fermi mixtures in optical lattices
• Orbital Feshbach Resonance with Small Energy Gap between Open and Closed Channels

Cited by in corpus (5)

• SU(N) Fermions in a One-Dimensional Harmonic Trap
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• 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
• Suppression and revival of long-range ferromagnetic order in the multiorbital Fermi-Hubbard model