Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions

Abstract

In the past decades, tremendous efforts have been made towards understanding the exotic physics emerging from competition between various ordering tendencies in strongly correlated systems. Employing state-of-the-art quantum Monte-Carlo simulation, we investigate an interacting SU($N$) fermionic model with varying interaction strength and value of $N$, and unveil the ground-state phase diagram of the model exhibiting a plethora of exotic phases. For small value of $N$, namely $N=2,3$, the ground state is antiferromagnetic (AFM) phase, whereas in the large-$N$ limit, valence bound solid (VBS) order is dominant. For the intermediate value of $N$ such as $N=4$, remarkably, our study reveals distinct VBS orders appear in the weak and strong coupling regimes. More fantastically, the competition between staggered and columnar VBS ordering tendencies gives rise to a Mott insulating phase without spontaneously symmetry breaking (SSB), existing in a large interacting parameter regime, which is consistent with a gapped quantum spin liquid. Our study not only provides a platform to investigate the fundamental physics of quantum many-body systems, but also offers a novel route towards searching for exotic states of matter such as quantum spin liquid in realistic quantum materials.

4.5 pages, 5 figures plus supplementary materials

References in corpus (40)

• Theory of Intertwined Orders in High Temperature Superconductors
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• A one-dimensional liquid of fermions with tunable spin
• An exact chiral spin liquid with non-Abelian anyons
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• On the stability of U(1) spin liquids in two dimensions
• Ultracold fermions and the SU(N) Hubbard model
• Algebraic spin liquid as the mother of many competing orders
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Spin-orbital quantum liquid on the honeycomb lattice
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Fermionic Quantum Critical Point of Spinless Fermions on a Honeycomb Lattice
• Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets
• Na4Ir3O8 as a 3D spin liquid with fermionic spinons
• Coherent multi-flavour spin dynamics in a fermionic quantum gas
• Exact Diagonalization of Heisenberg SU(N) models
• A simple fermionic model of deconfined phases and phase transitions
• Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
• Stable Quantum Monte Carlo Simulations for Entanglement Spectra of Interacting Fermions
• Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• Ground state degeneracy on torus in a family of ${\mathbb{Z}}_N$ toric code
• Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
• Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
• Dirac fermions with plaquette interactions. I. SU(2) phase diagram with Gross-Neveu and deconfined quantum criticalities
• Stable computation of entanglement entropy for 2D interacting fermion systems
• SU(4) symmetry in twisted bilayer graphene - an itinerant perspective
• Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
• Rigorous results on the ground state of the attractive SU($N$) Hubbard model
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model
• Fermion-induced quantum critical point in Dirac semimetals: a sign-problem-free quantum Monte Carlo study
• Intertwining SU($N$) symmetry and frustration on a honeycomb lattice
• Symmetry-protected topological phases in the SU(N) Heisenberg spin chain: a Majorana-fermion approach
• Phase diagrams of SO($N$) Majorana-Hubbard models: Dimerization, internal symmetry breaking, and fluctuation-induced first-order transitions
• Transition from band insulator to Mott insulator and formation of local moment in half-filled ionic SU($N$) Hubbard model

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