Spin nematic ground state of the triangular lattice S=1 biquadratic model

Abstract

Motivated by the spate of recent experimental and theoretical interest in Mott insulating S=1 triangular lattice magnets, we consider a model S=1 Hamiltonian on a triangular lattice interacting with rotationally symmetric biquadratic interactions. We show that the partition function of this model can be expressed in terms of configurations of three colors of tightly-packed, closed loops with {\em non-negative} weights, which allows for efficient quantum Monte Carlo sampling on large lattices. We find the ground state has spin nematic order, i.e. it spontaneously breaks spin rotation symmetry but preserves time reversal symmetry. We present accurate results for the parameters of the low energy field theory, as well as finite-temperature thermodynamic functions.

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Cited by in corpus (17)

• Waves in the unseen : theory of spin excitations in a quantum spin nematic
• Spin nematics, valence-bond solids and spin liquids in SO($N$) quantum spin models on the triangular lattice
• Detecting spin fractionalization in a spinon Fermi surface spin liquid
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Semi-classical simulation of spin-1 magnets
• Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice
• Spin dynamics of the bilinear-biquadratic $S=1$ Heisenberg model on the triangular lattice: a quantum Monte Carlo study
• Symmetry-protected topological order and negative-sign problem for SO(N) bilinear-biquadratic chains
• Kagome model for a ${\mathbb{Z}}_2$ quantum spin liquid
• Probing Hidden Orders with Resonant Inelastic X-Ray Scattering
• First-order Néel-cVBS transition in a model square lattice $S=1$ antiferromagnet
• Gravitational wave analogues in spin nematics and cold atoms
• Quantum spiral spin-tensor magnetism
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• Spin nematics next to spin singlets
• Finite temperature thermodynamic properties of the spin-1 nematics in an applied magnetic field
• Quadrupolar quantum criticality on a fractal