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arXiv · 1101.1999

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

Yoshihiro Nishiyama
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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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Yoshihiro Nishiyama. 2011-01-11. Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice. https://doi.org/10.1103/physrevb.83.054417

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