Deconfined criticality for the S=1 spin model on the spatially anisotropic triangular lattice

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Abstract

The quantum S=1 spin model on the spatially anisotropic triangular lattice is investigated numerically. The nematic and valence-bond-solid (VBS) phases are realized by adjusting the spatial anisotropy and the biquadratic interaction. The phase transition between the nematic and VBS phases is expected to be a continuous one with unconventional critical indices (deconfined criticality). The geometrical character (spatial anisotropy) is taken into account by imposing the screw-boundary condition (Novotny's method). Diagonalizing the finite-size cluster with N≤20 spins, we observe a clear indication of continuous phase transition. The correlation-length critical exponent is estimated as ν=0.92(10).

Original languageEnglish
Article number054417
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume83
Issue number5
DOIs
Publication statusPublished - 2011

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solid phases
Anisotropy
Phase transitions
valence
anisotropy
screws
indication
adjusting
Boundary conditions
exponents
boundary conditions
interactions
Solid Bond

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

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abstract = "The quantum S=1 spin model on the spatially anisotropic triangular lattice is investigated numerically. The nematic and valence-bond-solid (VBS) phases are realized by adjusting the spatial anisotropy and the biquadratic interaction. The phase transition between the nematic and VBS phases is expected to be a continuous one with unconventional critical indices (deconfined criticality). The geometrical character (spatial anisotropy) is taken into account by imposing the screw-boundary condition (Novotny's method). Diagonalizing the finite-size cluster with N≤20 spins, we observe a clear indication of continuous phase transition. The correlation-length critical exponent is estimated as ν=0.92(10).",
author = "Yoshihiro Nishiyama",
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AB - The quantum S=1 spin model on the spatially anisotropic triangular lattice is investigated numerically. The nematic and valence-bond-solid (VBS) phases are realized by adjusting the spatial anisotropy and the biquadratic interaction. The phase transition between the nematic and VBS phases is expected to be a continuous one with unconventional critical indices (deconfined criticality). The geometrical character (spatial anisotropy) is taken into account by imposing the screw-boundary condition (Novotny's method). Diagonalizing the finite-size cluster with N≤20 spins, we observe a clear indication of continuous phase transition. The correlation-length critical exponent is estimated as ν=0.92(10).

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