Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model

Abstract

We study the thermodynamic properties of four-component fermionic mixtures described by the Hubbard model using the dynamical mean-field-theory approach. Special attention is given to the system with SU(4)-symmetric interactions at half filling, where we analyze equilibrium many-body phases and their coexistence regions at nonzero temperature for the case of simple cubic lattice geometry. We also determine the evolution of observables in low-temperature phases while lowering the symmetry of the Hamiltonian towards the two-band Hubbard model. This is achieved by varying interflavor interactions or by introducing the spin-flip term (Hund's coupling). By calculating the entropy for different symmetries of the model, we determine the optimal regimes for approaching the studied phases in experiments with ultracold alkali and alkaline-earth-like atoms in optical lattices.

arXiv comment8 pages, 8 figures, final version

References in corpus (39)

• Continuous-time Monte Carlo methods for quantum impurity models
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Fermi-Hubbard physics with atoms in an optical lattice
• 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
• Collisional stability of a three-component degenerate Fermi gas
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Ultracold fermions and the SU(N) Hubbard model
• Realization of SU(2)*SU(6) Fermi System
• Degenerate Fermi Gas of ${}^{87}$Sr
• Direct observation of coherent inter-orbital spin-exchange dynamics
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Microscopic conditions favoring itinerant ferromagnetism: Hund's rule coupling and orbital degeneracy
• Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Superfluidity and magnetism in multicomponent ultracold fermions
• Coherent multi-flavour spin dynamics in a fermionic quantum gas
• Electronic orders in multi-orbital Hubbard models with lifted orbital degeneracy
• Efficient calculation of the antiferromagnetic phase diagram of the 3D Hubbard model
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• Giant spin oscillations in an ultracold Fermi sea
• Finite-temperature Mott transitions in multi-orbital Hubbard model
• High temperature thermodynamics of fermionic alkaline earth atoms in optical lattices
• Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study
• Pomeranchuk cooling of the SU($2N$) ultra-cold fermions in optical lattices
• Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices
• Magnetic ordering of three-component ultracold fermionic mixtures in optical lattices
• Exotic magnetic orders for high spin ultracold fermions
• Critical entropies and magnetic-phase-diagram analysis of ultracold three-component fermionic mixtures in optical lattices
• Finite Temperature Phase Transitions in the SU$(N)$ Hubbard model
• Advantages of Mass-Imbalanced Ultracold Fermionic Mixtures for Approaching Quantum Magnetism in Optical Lattices
• Mott transitions in the half-filled SU(2M) symmetric Hubbard model
• Mott made easy
• Effects of anisotropy in simple lattice geometries on many-body properties of ultracold fermions in optical lattices
• Orbital magnetism of ultracold fermionic gases in a lattice: dynamical mean-field approach
• Perspectives of optical lattices with state-dependent tunneling in approaching quantum magnetism in the presence of the external harmonic trapping potential

Cited by in corpus (11)

• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• 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
• Spontaneously orbital-selective superconductivity in a three-orbital Hubbard model
• Dynamics of spin and density fluctuations in strongly interacting few-body systems
• Staggered ordered phases in the three-orbital Hubbard model
• SU(4)-symmetric Hubbard model at quarter filling: Insights from the dynamical mean-field approach
• Orbital ordering of ultracold alkaline-earth atoms in optical lattices
• Suppression and revival of long-range ferromagnetic order in the multiorbital Fermi-Hubbard model
• Anisotropy-driven magnetic phase transitions in SU(4)-symmetric Fermi gas in three-dimensional optical lattices