Criticality of the (2 + 1)-dimensional S = 1 transverse-field Ising model with extended interactions: Suppression of corrections to scaling

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Abstract

The criticality of the (2 + 1)-dimensional S = 1 transverse-field Ising model is investigated with the numerical diagonalization method. The scaling behavior is improved by tuning the coupling-constant parameters; the S = 1 spin model allows us to incorporate a variety of interactions such as the single-ion anisotropy and the biquadratic interactions. Simulating the clusters with N = 6, 8, ..., 20 spins, we estimate the critical indices as 1 / ν = 1.586 (6) and η = 0.034 (4).

Original languageEnglish
Pages (from-to)605-616
Number of pages12
JournalNuclear Physics, Section B
Volume832
Issue number3
DOIs
Publication statusPublished - Jun 21 2010

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Ising model
retarding
scaling
tuning
interactions
anisotropy
estimates
ions

Keywords

  • Critical point phenomena
  • Lattice theory and statistics
  • Numerical simulation studies
  • Quantized spin models

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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title = "Criticality of the (2 + 1)-dimensional S = 1 transverse-field Ising model with extended interactions: Suppression of corrections to scaling",
abstract = "The criticality of the (2 + 1)-dimensional S = 1 transverse-field Ising model is investigated with the numerical diagonalization method. The scaling behavior is improved by tuning the coupling-constant parameters; the S = 1 spin model allows us to incorporate a variety of interactions such as the single-ion anisotropy and the biquadratic interactions. Simulating the clusters with N = 6, 8, ..., 20 spins, we estimate the critical indices as 1 / ν = 1.586 (6) and η = 0.034 (4).",
keywords = "Critical point phenomena, Lattice theory and statistics, Numerical simulation studies, Quantized spin models",
author = "Yoshihiro Nishiyama",
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AU - Nishiyama, Yoshihiro

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N2 - The criticality of the (2 + 1)-dimensional S = 1 transverse-field Ising model is investigated with the numerical diagonalization method. The scaling behavior is improved by tuning the coupling-constant parameters; the S = 1 spin model allows us to incorporate a variety of interactions such as the single-ion anisotropy and the biquadratic interactions. Simulating the clusters with N = 6, 8, ..., 20 spins, we estimate the critical indices as 1 / ν = 1.586 (6) and η = 0.034 (4).

AB - The criticality of the (2 + 1)-dimensional S = 1 transverse-field Ising model is investigated with the numerical diagonalization method. The scaling behavior is improved by tuning the coupling-constant parameters; the S = 1 spin model allows us to incorporate a variety of interactions such as the single-ion anisotropy and the biquadratic interactions. Simulating the clusters with N = 6, 8, ..., 20 spins, we estimate the critical indices as 1 / ν = 1.586 (6) and η = 0.034 (4).

KW - Critical point phenomena

KW - Lattice theory and statistics

KW - Numerical simulation studies

KW - Quantized spin models

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