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

Yoshihiro Nishiyama

doi:10.1016/j.physa.2012.07.067

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 language	English
Pages (from-to)	6448-6455
Number of pages	8
Journal	Physica A: Statistical Mechanics and its Applications
Volume	391
Issue number	24
DOIs	https://doi.org/10.1016/j.physa.2012.07.067
Publication status	Published - 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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10.1016/j.physa.2012.07.067

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

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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author = "Yoshihiro Nishiyama",

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AU - Nishiyama, Yoshihiro

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N2 - 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.

AB - 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.

KW - Magnetic properties

KW - Numerical simulation studies

KW - Quantized spin models

KW - Quantum statistical mechanics

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

Abstract

Keywords

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