Deconfined criticality for the two-dimensional quantum S = 1-spin model with the three-spin and biquadratic interactions

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Abstract

The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S = 1-spin model with the three-spin and biquadratic interactions by means of the numerical diagonalization method. It is expected that the criticality belongs to a novel universality class, the so-called deconfined criticality, accompanied with unconventional critical indices. In this paper, we incorporate the three-spin interaction, and adjust the (redundant) interaction parameter so as to optimize the finite-size behavior. Treating the finite-size cluster with N ≤ 20 spins, we estimate the correlation-length critical exponent as ν = 0.88(3).

Original languageEnglish
JournalEuropean Physical Journal B
Volume88
Issue number3
DOIs
Publication statusPublished - Mar 1 2015

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Numerical methods
interactions
solid phases
exponents
valence
Solid Bond
estimates

Keywords

  • Statistical and Nonlinear Physics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

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abstract = "The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S = 1-spin model with the three-spin and biquadratic interactions by means of the numerical diagonalization method. It is expected that the criticality belongs to a novel universality class, the so-called deconfined criticality, accompanied with unconventional critical indices. In this paper, we incorporate the three-spin interaction, and adjust the (redundant) interaction parameter so as to optimize the finite-size behavior. Treating the finite-size cluster with N ≤ 20 spins, we estimate the correlation-length critical exponent as ν = 0.88(3).",
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