Quantum Spin Liquid with Emergent Chiral Order in the Triangular-lattice Hubbard Model

Abstract

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate. Using the density matrix renormalization group with SU(2)${}_{\mathrm{spin}}\otimes$U(1)${}_{\mathrm{charge}}$ symmetries implemented, we study the triangular-lattice Hubbard model defined on the long cylinder geometry up to circumference $W=6$. A gapped quantum spin liquid, with on-site interaction $9\lesssim U/t\lesssim 10.75$, is identified between the metallic and the antiferromagnetic Mott insulating phases. In particular, we find that this spin liquid develops a robust long-range spin scalar-chiral correlation as the system length $L$ increases, which unambiguously unveils the spontaneous time-reversal symmetry breaking. In addition, the degeneracy of the entanglement spectrum supports symmetry fractionalization and spinon edge modes in the obtained ground state. The possible origin of chiral order in this intermediate spin liquid and its relation to the rotonlike excitations have also been discussed.

8+6 pages, 7+8 figures

References in corpus (16)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Identifying Topological Order by Entanglement Entropy
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the 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
• The Hubbard model on the triangular lattice: Spiral order and spin liquid
• Mott insulating states with competing orders in the triangular lattice Hubbard model
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Gapped magnetic ground state in quantum-spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$-Cu${}_2$(CN)${}_3$
• Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice
• Spin Bose-Metal and Valence Bond Solid phases in a spin-1/2 model with ring exchanges on a four-leg triangular ladder
• Hubbard ladders at small $U$ revisited
• The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids

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