Ising model with periodic pinning of mobile defects

A two-dimensional Ising model with short-range interactions and mobile defects describing the formation and thermal destruction of defect stripes is studied. In particular, the effect of a local pinning of the defects at the sites of straight equidistant lines is analysed using Monte Carlo simulatio...

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Bibliographic Details
Published inarXiv.org
Main Authors Holtschneider, M, Selke, W
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.07.2003
Subjects
Computer simulation
Defects
Dependence
Ising model
Monte Carlo simulation
Phase transitions
Pinning
Transition temperature
Two dimensional models
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Summary:A two-dimensional Ising model with short-range interactions and mobile defects describing the formation and thermal destruction of defect stripes is studied. In particular, the effect of a local pinning of the defects at the sites of straight equidistant lines is analysed using Monte Carlo simulations and the transfer matrix method. The pinning leads to a long-range ordered magnetic phase at low temperatures. The dependence of the phase transition temperature, at which the defect stripes are destabilized, on the pinning strength is determined. The transition seems to be of first order, with and without pinning.
ISSN:2331-8422
DOI:10.48550/arxiv.0305702