Ultracold fermions and the SU(N) Hubbard model

Abstract

We investigate the fermionic SU(N) Hubbard model on the two-dimensional square lattice for weak to moderate interaction strengths using one-loop renormalization group and mean-field methods. For the repulsive case U>0 at half filling and small N the dominant tendency is towards breaking of the SU(N) symmetry. For N>6 staggered flux order takes over as the dominant instability, in agreement with the large-N limit. Away from half filling for N=3 the system rearranges the particle densities such that two flavors remain half filled by cannibalizing the third flavor. In the attractive case and odd N a full Fermi surface coexists with a superconductor in the ground state. These results may be relevant to future experiments with cold fermionic atoms in optical lattices.

4 pages, 3 figures

References in corpus (2)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Broken time-reversal symmetry in strongly correlated ladder structures

Cited by in corpus (124)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• 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
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Degenerate Fermi Gases of Ytterbium
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Determination of the Fermion Pair Size in a Resonantly Interacting Superfluid
• Superfluidity and magnetism in multicomponent ultracold fermions
• Valence bond solids for SU(n) spin chains: exact models, spinon confinement, and the Haldane gap
• Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• Coherent multi-flavour spin dynamics in a fermionic quantum gas
• BCS pairing in Fermi systems with several flavors
• Trionic phase of ultracold fermions in an optical lattice: A variational study
• Exact Diagonalization of Heisenberg SU(N) models
• Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
• Pairing in a three component Fermi gas
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Polaronic atom-trimer continuity in three-component Fermi gases
• Exact results for SU(3) spin chains: trimer states, valence bond solids, and their parent Hamiltonians
• Twisted boundary condition and Lieb-Schultz-Mattis ingappability for discrete symmetries
• Superfluidity in a Three-flavor Fermi Gas with SU(3) Symmetry
• SU(N) quantum spin models: A variational wavefunction study
• Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions
• Adiabatic loading of one-dimensional SU(N) alkaline earth fermions in optical lattices
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
• Magnetism and domain formation in SU(3)-symmetric multi-species Fermi mixtures
• Nagaoka states in the SU($n$) Hubbard model
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
• Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices
• Co-existence and shell structures of several superfluids in trapped three-component Fermi mixtures
• Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model
• Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap
• Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
• A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice
• Semi-classical simulation of spin-1 magnets
• Three-Component Fermionic Atoms with Repulsive Interaction in Optical Lattices
• Phase diagram, extended domain walls, and soft collective modes in a three component fermionic superfluid
• SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries
• Flag manifold sigma models: spin chains and integrable theories
• Superfluid state of repulsively interacting three-component fermionic atoms in optical lattices
• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Ground state phase diagram of the repulsive SU(3) Hubbard model in Gutzwiller approximation
• Goldstone bosons in presence of charge density
• Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions
• Disordered one-dimensional Bose-Fermi mixtures: The Bose-Fermi glass
• Ferromagnetism in $d$-dimensional SU($n$) Hubbard models with nearly flat bands
• Exact diagonalization study of the trionic crossover and the trion liquid in the attractive three-component Hubbard model
• Superfluid density and collective modes of fermion superfluid in dice lattice
• Interorbital Interactions in an SU(2)xSU(6)-Symmetric Fermi-Fermi Mixture
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Perfect transference of a d-level quantum state over pseudo-distance-regular networks
• Exact diagonalization of $\mathrm{SU}(N)$ Heisenberg and AKLT chains using the full $\mathrm{SU}(N)$ symmetry
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Stability of Inhomogeneous Multi-Component Fermi Gases
• Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model
• Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension
• Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $\eta$ pairing, weak ergodicity breaking, and partial integrability
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Majorana Scars as Group Singlets
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Color Superfluid and Trionic State of Attractive Three-Component Lattice Fermionic Atoms at Finite Temperatures
• Ferromagnetism in the SU(N) Kondo lattice model -- SU(N) double exchange and supersymmetry
• Topological terms of (2+1)d flag-manifold sigma models
• One-dimensional spin pyrochlore lattice: exact ground state and elementary excitations
• Valleytronic full configuration-interaction approach: An application to the excitation spectra of Si double-dot qubits
• Effects of disorder on atomic density waves and spin-singlet dimers in one-dimensional optical lattices
• Exotic pairing in 1D spin-3/2 atomic gases with $SO(4)$ symmetry
• Heteronuclear fermionic superfluids with spin degrees of freedom
• Magnetic Stability Analysis for Abelian and Non-Abelian Superconductors
• Sum rules for spin-$1/2$ quantum gases in states with well-defined spins: spin-independent interactions and spin-dependent external fields
• Finite Temperature Strong Coupling Expansions for the SU(N) Hubbard Model
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models
• Ordering of Energy Levels for Extended SU(N) Hubbard Chain
• Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using SU($\mathcal{N}$)-Symmetric Cold Atom Mixtures
• The Symplectic Fermi Liquid and its realization in cold atomic systems
• Stabilization of the chiral phase of the SU($6m$) Heisenberg model on the honeycomb lattice with $m$ particles per site for $m$ larger than 1
• Transition from band insulator to Mott insulator and formation of local moment in half-filled ionic SU($N$) Hubbard model
• Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\text{SU}(N)$ Hubbard Models
• On the Divergence of the Ferromagnetic Susceptibility in the SU(N) Nagaoka-Thouless Ferromagnet
• Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid
• The SU(N) Fermi-Hubbard Model on two sites: Bethe Ansatz solution and Quantum Phase Transition of the Lipkin-Meshkov-Glick Model in the large-N limit
• $p$ orbitals in 3D lattices; fermions, bosons and (exotic) models of magnetism
• 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
• Phases and criticality of the triangular lattice SU(N) Hofstadter-Hubbard model
• Finite temperature dynamical properties of SU($N$) fermionic Hubbard models in the spin-incoherent regime
• Momentum classification of SU($n$) spin chains using extended Young Tableaux
• Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model
• Time-of-flight imaging method to observe signatures of antiferromagnetically ordered states of fermionic atoms in an optical lattice
• Sigma-model analysis of $SU(3)$ antiferromagnetic spins on the triangular lattice
• Many-flavor electron gas approach to electron-hole drops
• Kohn-Luttinger-like mechanism for unconventional charge density waves
• 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
• Solving the SU($N$) Orbital Hatsugai-Kohmoto Model
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance
• Hierarchy of pairing in imbalanced three-component one-dimensional Fermi gas
• Degenerate Rabi spectroscopy of the Floquet engineered optical lattice clock
• Extended staggered-flux phases in two-dimensional lattices
• Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice
• Competition between Neel, Haldane nematic, plaquette valence bond solid, and $(\pi ,\pi )$ valence bond solid phases in SU(N) analogs of $S=1$ square-lattice antiferromagnets
• Exact quantization of topological order parameter in SU($N$) spin models, $N$-ality transformation and ingappabilities
• 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
• Hydrodynamic equations for a U(N) invariant superfluid
• Lieb-Mattis ordering theorem of electronic energy levels in the thermodynamic limit
• Edge states and universality class of the critical two-box symmetric SU(3) chain
• Diffusion Monte Carlo study of a valley degenerate electron gas and application to quantum dots
• $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states
• Generalized Nagaoka ferromagnetism accompanied by flavor-selective Mott states in an SU($N$) Fermi-Hubbard model
• Dominant Excitonic Superconductivity in a Three-component Hubbard Chain
• Construction of asymptotic quantum many-body scar states in the SU($N$) Hubbard model
• Onset of charge incompressibility and Mott gaps in the Honeycomb-Lattice SU(4) Hubbard Model: Lessons for Twisted Bilayer Graphene systems
• Preparing the Gutzwiller wave function for attractive SU(3) fermions on a quantum computer