A non-abelian spin-liquid in a spin-1 quantum magnet

Abstract

We study a time-reversal invariant non-abelian spin-liquid state in an $SU(2)$ symmetric spin $S=1$ quantum magnet on a triangular lattice. The spin-liquid is obtained by quantum disordering a non-collinear nematic state. We show that such a spin-liquid cannot be obtained by the standard projective construction for spin-liquids. We also study phase transition between the spin-liquid and the non-collinear nematic state and show that it cannot be described within Landau-Ginzburg- Wilson paradigm.

4.25 pages, 1 figure

References in corpus (3)

• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Quantum spin nematics, dimerization, and deconfined criticality in quasi-one dimensional spin-1 magnets
• Fermionic theory for quantum antiferromagnets with spin S > 1/2

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• Semi-classical simulation of spin-1 magnets
• Possible Nematic Spin Liquid in Spin-$1$ Antiferromagnetic System on the Square Lattice: Implication for the Nematic Paramagnetic State of FeSe
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• Classification of point-group-symmetric orientational ordering tensors
• $\mathbb{C}{P}^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
• Magnetic order in spin-1 and spin-3/2 interpolating square-triangle Heisenberg antiferromagnets
• Phase Transition In $SU(N)\times U(1)$ Gauge Theory With Many Fundamental Bosons
• Generalized symmetries in singularity-free nonlinear $\sigma$ models and their disordered phases
• Gutzwiller Approach for Elementary Excitations in $S=1$ Antiferromagnetic Chains
• Possible spin liquid states with parton Fermi surfaces in SU(3) ring-exchange model on the triangular lattice
• Generalizations of Perelomov's identity on the completeness of coherent states
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• Quantum Simulation of Two-Dimensional $\mathrm{U}(1)$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
• Overscreened Kondo fixed point in S=1 spin liquid
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• ${\mathbb{Z}}_2$ Vortex Crystals in Tetrahedral Antiferromagnets: Fractional Charges and Topological Magnons
• Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model
• Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions