Slater and Mott insulating states in the SU(6) Hubbard model

Abstract

We perform large scale projector determinant quantum Monte-Carlo simulations to study the insulating states of the half-filled SU(6) Hubbard model on the square lattice. The transition from the antiferromagnetic state to the valence bond solid state occurs as increasing the Hubbard $U$. In contrast, in the SU(2) and SU(4) cases antiferromagnetism persists throughout the entire interaction range. In the SU(6) case, antiferromagnetism starts to develop in the weak interacting regime based on the Slater mechanism of Fermi surface nesting. As $U$ passes a crossover value $U^{\ast }/t\approx 9$, the single-particle gap scales linearly with $U$, marking the onset of Mott physics. In the Mott regime, antiferromagnetism becomes to be suppressed as $U$ increases, and vanishes after $U$ passes the critical value $U_{\mathrm{AF},\mathrm{c}}/t=13.3\pm 0.05$. The critical exponents are obtained via critical scalings as ${\nu }_{\mathrm{AF}}=0.60\pm 0.02$ and ${\eta }_{\mathrm{AF}}=0.44\pm 0.03$. As $U$ further increases, the valence bond solid ordering appears exhibiting the anomalous dimension ${\eta }_{\mathrm{VBS}}=0.98\pm 0.01$.

arXiv comment6 pages, 4 figures

References in corpus (49)

• "Deconfined" quantum critical points
• Continuous Quantum Phase Transitions
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• 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
• Ultracold fermions and the SU(N) Hubbard model
• Realization of SU(2)*SU(6) Fermi System
• Quantum criticality with two length scales
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Degenerate Fermi Gas of ${}^{87}$Sr
• Continuous quantum phase transition between an antiferromagnet and a valence-bond-solid in two dimensions; evidence for logarithmic corrections to scaling
• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Deconfined quantum criticality and Neel order via dimer disorder
• A lattice model for the SU(N) Neel-VBS quantum phase transition at large N
• Fate of CP(N-1) fixed points with q-monopoles
• Néel to valence-bond solid transition on the honeycomb lattice: Evidence for deconfined criticality
• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• Antiferromagnetic spin correlation of SU($\mathcal{N}$) Fermi gas in an optical super-lattice
• A tensor product state approach to spin-1/2 square $J_1$-$J_2$ antiferromagnetic Heisenberg model: evidence for deconfined quantum criticality
• Coherent multi-flavour spin dynamics in a fermionic quantum gas
• Resonating plaquette phases in large spin cold atom systems
• A simple fermionic model of deconfined phases and phase transitions
• Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning field quantum Monte-Carlo simulations
• Mott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions
• Exact spontaneous plaquette ground states for high-spin ladder models
• First-order phase transition in easy-plane quantum antiferromagnets
• 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
• CP(N-1) Quantum Field Theories with Alkaline-Earth Atoms in Optical Lattices
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• Example of a first-order Néel to Valence-Bond-Solid transition in two-dimensions
• From Slater to Mott-Heisenberg physics: The antiferromagnetic phase of the Hubbard model
• Current Carrying Ground State in a Bi-layer Model
• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• New easy-plane ${\mathbb{CP}}^{N-1}$ fixed points
• First-order superfluid to valence bond solid phase transitions in easy-plane SU($N$) magnets for small-$N$
• Mott made easy
• Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory
• First- order versus unconventional phase transitions in three-dimensional dimer models
• Phase Transition In $SU(N)\times U(1)$ Gauge Theory With Many Fundamental Bosons
• Critical exponents of nonlinear sigma model on Grassmann manifold $U(N)/U(m)U(N-m)$ by $1/N$ expansion
• Translation-Invariant Parent Hamiltonians of Valence Bond Crystals

Cited by in corpus (14)

• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Transition from band insulator to Mott insulator and formation of local moment in half-filled ionic SU($N$) Hubbard model
• Mott insulating states of the anisotropic SU(4) Dirac fermions
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
• The Symmetry Principle in Condensed Matter Physics (I)
• Solving the SU($N$) Orbital Hatsugai-Kohmoto Model
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance