Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition

Abstract

We use state-of-the-art numerical techniques to compute ground state correlations in the two-dimensional SU(3) Fermi Hubbard model at $1/3$-filling, modeling fermions with three possible spin flavors moving on a square lattice with an average of one particle per site. We find clear evidence of a quantum critical point separating a non-magnetic uniform metallic phase from a regime where long-range `spin' order is present. In particular, there are multiple successive transitions to states with regular, long-range alternation of the different flavors, whose symmetry changes as the interaction strength increases. In addition to the rich quantum magnetism, this important physical system allows one to study integer filling and the associated Mott transition disentangled from nesting, in contrast to the usual SU(2) model. Our results also provide a significant step towards the interpretation of present and future experiments on fermionic alkaline-earth atoms, and other realizations of SU($N$) physics.

References in corpus (75)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• The Hubbard Model
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• A Constrained Path Monte Carlo Method for Fermion Ground States
• Twist-averaged Boundary Conditions in Continuum Quantum Monte Carlo
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Ultracold fermions and the SU(N) Hubbard model
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model: a quantum Monte Carlo study
• An ytterbium quantum gas microscope with narrow-line laser cooling
• 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
• Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices
• Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice
• Antiferromagnetic spin correlation of SU($\mathcal{N}$) Fermi gas in an optical super-lattice
• Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method
• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• Metal-insulator transition in the one-dimensional SU(N) Hubbard model
• Topological liquids and valence cluster states in two-dimensional SU(N) magnets
• Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model
• Symmetry in Auxiliary-Field Quantum Monte Carlo Calculations
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Quantum Monte Carlo method for the ground state of many-boson systems
• Exact Diagonalization of Heisenberg SU(N) models
• Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
• Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning field quantum Monte-Carlo simulations
• Quantum Monte Carlo Simulations of the 2D Su-Schrieffer-Heeger Model
• Coupling quantum Monte Carlo and independent-particle calculations: self-consistent constraint for the sign problem based on density or density matrix
• Valence-bond solid to antiferromagnet transition in the two-dimensional Su-Schrieffer-Heeger model by Langevin dynamics
• High temperature thermodynamics of fermionic alkaline earth atoms in optical lattices
• Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
• Antiferromagnetism induced by electron-phonon-coupling
• Quantum and Thermal Phase Transitions of the Triangular SU(3) Heisenberg Model under Magnetic Fields
• Adiabatic loading of one-dimensional SU(N) alkaline earth fermions in optical lattices
• Flavour-selective localization in interacting lattice fermions via SU(N) symmetry breaking
• Mott transitions in ternary flavor mixtures of ultracold fermions on optical lattices
• Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study
• Control of the finite size corrections in exact diagonalization studies
• Pomeranchuk cooling of the SU($2N$) ultra-cold fermions in optical lattices
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Magnetism and domain formation in SU(3)-symmetric multi-species Fermi mixtures
• SU(6) Heisenberg model on the honeycomb lattice: competition between plaquette and chiral order
• Dominant charge-density-wave correlations in the Holstein model on the half-filled square lattice
• Magnetic ordering of three-component ultracold fermionic mixtures in optical lattices
• Electron-Phonon Interactions in Flat Band Systems
• Spin- and charge-density waves in the Hartree-Fock ground state of the two-dimensional Hubbard model
• SU(3) Fermions on the Honeycomb Lattice at 1/3-Filling
• Critical entropies and magnetic-phase-diagram analysis of ultracold three-component fermionic mixtures in optical lattices
• Artificial $SU(3)$ Spin-Orbit Coupling and Exotic Mott Insulators
• Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems
• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Mott transitions in the half-filled SU(2M) symmetric Hubbard model
• Interaction-driven topological phase transitions in fermionic SU($3$) systems
• Ferromagnetic ground state of SU(3) Hubbard model on the Lieb lattice
• Charge Density Waves on a Half-Filled Decorated Honeycomb Lattice
• Slater and Mott insulating states in the SU(6) Hubbard model
• Exotic Superfluid Phases in Spin Polarized Systems on Optical Lattices
• 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
• Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling
• Mott insulators of ultracold fermionic alkaline earth atoms in three dimensions
• SU(4)-symmetric Hubbard model at quarter filling: Insights from the dynamical mean-field approach
• Orbital magnetism of ultracold fermionic gases in a lattice: dynamical mean-field approach
• Charge Singlets and Orbital-Selective Charge Density Wave Transitions
• Enhancement of Charge Density Wave Correlations in a Holstein Model with an Anharmonic Phonon Potential

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• Preempting Fermion Sign Problem: Unveiling Quantum Criticality through Nonequilibrium Dynamics in Imaginary Time
• Combinatorial summation of Feynman diagrams: Equation of state of the 2D SU(N) Hubbard model
• Structural complexity of snapshots of 2D Fermi-Hubbard systems
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• Partial suppression of magnetism in the square lattice SU(3) Hubbard model
• Solving the SU($N$) Orbital Hatsugai-Kohmoto Model
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance
• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients
• Dominant Excitonic Superconductivity in a Three-component Hubbard Chain
• $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states
• Magnetic correlations in the $SU(3)$ triangular-lattice $t$-$J$ model at finite doping
• Trion formation and ordering in the attractive SU(3) Fermi-Hubbard model
• Generalized Nagaoka ferromagnetism accompanied by flavor-selective Mott states in an SU($N$) Fermi-Hubbard model