On the origin of the possible chiral spin liquid state of the triangular lattice Hubbard model

Abstract

Recent numerical simulations find a possible chiral spin liquid state in the intermediate coupling regime of the triangular lattice Hubbard model. Here we provide a simple picture for its origin in terms of a Bosonic RVB description. More specifically, we show that such a chiral spin liquid state can be understood as a quantum disordered tetrahedral spin state stabilized by the four spin ring exchange coupling, which suppresses the order-by-disorder effect toward a stripy spin state. Such a chiral spin liquid state features a spin Berry phase of $\frac{\pi }{2}$ per triangle. However, we show that the topological property of such a state is totally missed in the Schwinger Boson mean field description as a result of the lack of Boson rigidity caused by the no double occupancy constraint.

arXiv comment7 pages, 4 figures

References in corpus (28)

• Quantum Spin Liquid States
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
• Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
• Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Topological Entanglement Entropy of Z2 Spin liquids and Lattice Laughlin states
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Theory of a competitive spin liquid state for weak Mott insulators on the triangular lattice
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Parent Hamiltonian for the non-Abelian chiral spin liquid
• From Neel long-range order to spin-liquids in the multiple-spin exchange model
• Phase diagram of the Hubbard model on the anisotropic triangular lattice
• Dynamical structure factor of the triangular antiferromagnet: the Schwinger boson theory beyond the mean field approach
• Haldane-Hubbard Mott Insulator: From Tetrahedral Spin Crystal to Chiral Spin Liquid
• Gapped spin liquid phase in the J1-J2 Heisenberg model by a Bosonic resonating valence-bond ansatz
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Spontaneous quantum Hall effect in quarter-doped Hubbard model on honeycomb lattice and its possible realization in quarter-doped graphene system
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Competing Chiral Orders in the Topological Haldane-Hubbard Model of Spin-1/2 Fermions and Bosons
• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
• Mean field study of the topological Haldane-Hubbard model of spin-$1/2$ fermions
• Theory of the anomalous spin dynamics of spin-$\frac{1}{2}$ triangular lattice Heisenberg antiferromagnet and its application to Ba${}_3$CoSb${}_2$O${}_9$
• Why the Schwinger Boson mean field theory fails to describe the spin dynamics of the triangular lattice antiferromagnetic Heisenberg model?

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• Intertwining SU($N$) symmetry and frustration on a honeycomb lattice
• Competing emergent Potts orders and possible nematic spin liquids in the Kagome $J_1-J_3$ Heisenberg model
• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Anomalous valley Hall effect in monolayer chromium-based triple-Q magnets
• Electric field control of a quantum spin liquid in weak Mott insulators
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• Chiral spin liquid phase in an optical lattice at mean-field level
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids