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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
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    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112007583
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 391 (2012)
    Issue (Month): 24 ()
    Pages: 6448-6455

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    Handle: RePEc:eee:phsmap:v:391:y:2012:i:24:p:6448-6455

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Quantized spin models; Quantum statistical mechanics; Numerical simulation studies; Magnetic properties;

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