Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice

Abstract

The quantum S=1 spin model on the spatially anisotropic triangular lattice is investigated numerically. The nematic and valence-bond-solid (VBS) phases are realized by adjusting the spatial anisotropy and the biquadratic interaction. The phase transition between the nematic and VBS phases is expected to be a continuous one with unconventional critical indices (deconfined criticality). The geometrical character (spatial anisotropy) is taken into account by imposing the screw-boundary condition (Novotny's method). Diagonalizing the finite-size cluster with N \le 20 spins, we observe a clear indication of continuous phase transition. The correlation-length critical exponent is estimated as ν=0.92(10).

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Cited by in corpus (5)

• Neel-VBS phase boundary of the extended J_1-J_2 model with biquadratic interaction
• d=2 transverse-field Ising model under the screw-boundary condition: An optimization of the screw pitch
• Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions
• Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions
• Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model