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.

7 pages, 4 figures

References in corpus (8)

• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
• 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?

Cited by in corpus (11)

• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• A $j_{\mathrm{eff}}=1/2$ Kitaev material on the triangular lattice: The case of NaRuO${}_2$
• The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids
• 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