Possible spin liquid states with parton Fermi surfaces in SU(3) ring-exchange model on the triangular lattice

Abstract

We consider a SU(3) ring-exchange model on a triangular lattice. Unlike the SU(2) case, under perturbation expansion of the SU(3) Hubbard model, the three-site ring exchange is present as well as the usual four-site ring exchange. Interestingly, the three-site ring exchange differs from the usual two-site and four-site exchanges by a minus sign and is ferromagnetic. We first present numerical site-factorized state studies on this model which shows a three-sublatticed order phase and a ferromagnetic phase. We further study the model using slave-fermion mean field in which we rewrite the exchange operators in terms of three flavors of fermions. We find the main competing trial states are the trimer state (triangular plaquette state) and the gapless U(1) spin liquid states with parton Fermi surfaces which include both the uniform zero-flux spin liquid state, and the uniform π-flux spin liquid state. Furthermore, we find there are possible pairing instabilities of the zero-flux (Fermi surface) spin liquid state toward a f-wave gapless (nodal) spin liquid state and the π-flux (Fermi surface) spin liquid state toward an interesting exotic s-wave ``gapless`` spin liquid state with two flavors of fermions paired up while one flavor of fermions remains gapless.

10 pages, 6 figures. To appear in Phys. Rev. B

References in corpus (21)

• Tunable gauge potential for neutral and spinless particles in driven lattices
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Ultracold fermions and the SU(N) Hubbard model
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• High pressure sequence of Ba_3NiSb_2O_9 structural phases: new $S=1$ quantum spin-liquids based on Ni^{2+}
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Double-degenerate Bose-Fermi mixture of strontium
• Superfluidity and magnetism in multicomponent ultracold fermions
• Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice
• Possible ferro-spin nematic order in NiGa2S4
• Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets
• Topological liquids and valence cluster states in two-dimensional SU(N) magnets
• BCS pairing in Fermi systems with several flavors
• A Mott Insulator of Ultracold Alkaline-Earth-Like Atoms
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Superfluidity in a Three-flavor Fermi Gas with SU(3) Symmetry
• Spin Liquid Phases for Spin-1 systems on the Triangular lattice
• Exotic S=1 spin liquid state with fermionic excitations on triangular lattice
• Ground States of the SU(N) Heisenberg Model

Cited by in corpus (6)

• Chiral spin liquids in triangular lattice SU(N) fermionic Mott insulators with artificial gauge fields
• Evidence for a spinon Fermi surface in the triangular S=1 quantum spin liquid Ba${}_3$NiSb${}_2$O${}_9$
• Possible Nematic Spin Liquid in Spin-$1$ Antiferromagnetic System on the Square Lattice: Implication for the Nematic Paramagnetic State of FeSe
• Antiferroquadrupolar order and rotational symmetry breaking in a generalized bilinear-biquadratic model on a square lattice
• Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice
• Deconfined quantum criticality in SU(3) antiferromagnets on the triangular lattice