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Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model

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  • Nishiyama, Yoshihiro

Abstract

The phase transition between the valence-bond-solid (VBS) and nematic phases, the so-called deconfined criticality, was investigated for the quantum S=1-spin model on the spatially anisotropic triangular lattice with the biquadratic interaction by means of the numerical diagonalization method. We calculated both VBS- and nematic-order parameters, aiming to clarify the nature of this transition from complementary viewpoints. Simulating the clusters with N≤20 spins, we estimate the correlation-length critical exponent as ν=0.95(14). We also calculated Fisher’s exponent (anomalous dimension) for each order parameter.

Suggested Citation

  • Nishiyama, Yoshihiro, 2012. "Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6448-6455.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:24:p:6448-6455
    DOI: 10.1016/j.physa.2012.07.067
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