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.

8 pages, 8 figures, final version

References in corpus (17)

• Continuous-time Monte Carlo methods for quantum impurity models
• 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
• Direct observation of coherent inter-orbital spin-exchange dynamics
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• 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
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices
• 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

Cited by in corpus (6)

• 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
• SU(4)-symmetric Hubbard model at quarter filling: Insights from the dynamical mean-field approach
• Anisotropy-driven magnetic phase transitions in SU(4)-symmetric Fermi gas in three-dimensional optical lattices