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

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

2011-01-11

arxiv.org/abs/1101.1999v1

Phys Rev B, 054417 (2011)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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 \nu=0.92(10).

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