Infinitesimal incommensurate stripe phase in an axial next-nearest-neighbor Ising model in two dimensions

Takashi Shirahata, Tota Nakamura

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3 Citations (Scopus)

Abstract

An axial next-nearest-neighbor Ising model is studied by using the nonequilibrium relaxation method. We find that the incommensurate stripe phase between the ordered phase and the paramagnetic phase is negligibly narrow or may vanish in the thermodynamic limit. The phase transition is the second-order transition if approached from the ordered phase, and it is of the Kosterlitz-Thouless type if approached from the paramagnetic phase. Both transition temperatures coincide with each other within the numerical errors. The incommensurate phase which has been observed previously is a paramagnetic phase with a very long correlation length (typically (500). We could resolve this phase by treating very large systems (6400×6400), which is first made possible by employing the present method.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume65
Issue number2
DOIs
Publication statusPublished - 2002 Jan 1
Externally publishedYes

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Ising model
Superconducting transition temperature
Phase transitions
Thermodynamics
transition temperature
thermodynamics

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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AB - An axial next-nearest-neighbor Ising model is studied by using the nonequilibrium relaxation method. We find that the incommensurate stripe phase between the ordered phase and the paramagnetic phase is negligibly narrow or may vanish in the thermodynamic limit. The phase transition is the second-order transition if approached from the ordered phase, and it is of the Kosterlitz-Thouless type if approached from the paramagnetic phase. Both transition temperatures coincide with each other within the numerical errors. The incommensurate phase which has been observed previously is a paramagnetic phase with a very long correlation length (typically (500). We could resolve this phase by treating very large systems (6400×6400), which is first made possible by employing the present method.

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