Critical entropies and magnetic-phase-diagram analysis of ultracold three-component fermionic mixtures in optical lattices

Abstract

We study theoretically many-body equilibrium magnetic phases and corresponding thermodynamic characteristics of ultracold three-component fermionic mixtures in optical lattices described by the SU(3)-symmetric single-band Hubbard model. Our analysis is based on the generalization of the exact diagonalization solver for multicomponent mixtures that is used in the framework of the dynamical mean-field theory. It allows us to obtain a finite-temperature phase diagram with the corresponding transition lines to magnetically ordered phases at filling one particle per site (1/3 band filling) in simple cubic lattice geometry. Based on the developed theoretical approach, we also attain the necessary accuracy to study the entropy dependence in the vicinity of magnetically ordered phases that allows us to make important predictions for ongoing and future experiments aiming to approach and study long-range-order phases in ultracold atomic mixtures.

8 pages, 5 figures

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Cited by in corpus (22)

• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model
• 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
• Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model
• Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
• 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
• Magnetic phases and phase diagram of spin-1 condensate with quadrupole degrees of freedom
• Orbital magnetism of ultracold fermionic gases in a lattice: dynamical mean-field approach
• SU(3) symmetry in theory of a weakly interacting gas of spin-1 atoms with Bose-Einstein condensate
• Suppression and revival of long-range ferromagnetic order in the multiorbital Fermi-Hubbard model
• Interplay between intrinsic and emergent topological protection on interacting helical modes
• Anisotropy-driven magnetic phase transitions in SU(4)-symmetric Fermi gas in three-dimensional optical lattices
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance
• Solving the SU($N$) Orbital Hatsugai-Kohmoto Model
• Paramagnetic phases of strongly correlated ultracold fermions coupled to an optical cavity