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

Yoshihiro Nishiyama

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 24, 6448-6455

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.

Keywords: Quantized spin models; Quantum statistical mechanics; Numerical simulation studies; Magnetic properties (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:24:p:6448-6455

DOI: 10.1016/j.physa.2012.07.067

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