Spin-one bilinear-biquadratic model on a star lattice

Abstract

We study the ground-state phase diagram of the $S=1$ bilinear-biquadratic model\,(BLBQ) on the star lattice with the state-of-art tensor network algorithms. The system has five phases: the ferromagnetic, anti-ferromagnetic, ferroquadrupolar, and spin-liquid phases. The phases and their phase boundaries are determined by examining various local observables, correlation functions and transfer matrices exhaustively. The spin liquid phase, which is the first quantum disordered phase found in two-dimensional BLBQ model, is gapped and devoid of any conventional long-range order. It is also characterized by fixed-parity virtual bonds in the tensor network formalism, analogous to the Haldane phase, while the parity varies depending on the location of the bond.

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Cited by in corpus (13)

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• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• Superconducting stripes in the hole-doped three-band Hubbard model
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• SU(3) Fermions on the Honeycomb Lattice at 1/3-Filling
• Flat bands and higher-order topology in polymerized triptycene: Tight-binding analysis on decorated star lattices
• Efficient tensor network algorithm for layered systems
• Spectral functions with infinite projected entangled-pair states
• Competing States in the Two-Dimensional Frustrated Kondo-Necklace Model
• Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
• Exploiting the Hermitian symmetry in tensor network algorithms
• Accurate computation of the energy variance and $⟨⟨{\mathcal{L}}^{†}\mathcal{L}⟩⟩$ using iPEPS