Magnetic ordering of three-component ultracold fermionic mixtures in optical lattices

Abstract

We study finite-temperature magnetic phases of three-component mixtures of ultracold fermions with repulsive interactions in optical lattices with simple cubic or square geometry by means of dynamical mean-field theory (DMFT). We focus on the case of one particle per site (1/3 band filling) at moderate interaction strength, where we observe a sequence of thermal phase transitions into two- and three-sublattice ordered states by means of the unrestricted real-space generalization of DMFT. From our quantitative analysis we conclude that long-range ordering in three-component mixtures should be observable at comparable temperatures as in two-component mixtures.

7 pages, 4 figures

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• Artificial $SU(3)$ Spin-Orbit Coupling and Exotic Mott Insulators
• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
• Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model
• Competing Charge and Magnetic Order in Fermionic Multi-Component Systems
• SU(4)-symmetric Hubbard model at quarter filling: Insights from the dynamical mean-field approach
• Finite Temperature Properties of Three-Component Fermion Systems in Optical Lattice
• Magnetic phases and phase diagram of spin-1 condensate with quadrupole degrees of freedom
• SU(3) symmetry in theory of a weakly interacting gas of spin-1 atoms with Bose-Einstein condensate
• Orbital magnetism of ultracold fermionic gases in a lattice: dynamical mean-field approach
• Influence of topological constraints and topological excitations: Decomposition formulas for calculating homotopy groups of symmetry-broken phases
• Thermal Ising transition in two-dimensional SU(3) Fermi lattice gases with population imbalance
• Partial suppression of magnetism in the square lattice SU(3) Hubbard model
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• Solving the SU($N$) Orbital Hatsugai-Kohmoto Model
• Spin-resolved Mott crossover and entanglement in the half-filled Hubbard model
• Dominant Excitonic Superconductivity in a Three-component Hubbard Chain
• Magnetic correlations in the $SU(3)$ triangular-lattice $t$-$J$ model at finite doping
• Generalized Nagaoka ferromagnetism accompanied by flavor-selective Mott states in an SU($N$) Fermi-Hubbard model