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

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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.

Original languageEnglish
Pages (from-to)6448-6455
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume391
Issue number24
DOIs
Publication statusPublished - Dec 15 2012

Keywords

  • Magnetic properties
  • Numerical simulation studies
  • Quantized spin models
  • Quantum statistical mechanics

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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