Two coupled Ising planes: Phase diagram and interplanar force

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The statistical mechanics of two Ising ferromagnetic planes coupled by a local interlayer two-spin interaction have been studied by means of a variety of calculational methods, including different mean-field approximations, Migdal-Kadanoff-type renormalization-group techniques, scaling theory, as well as numerical Monte Carlo simulation techniques. The phase diagram has been derived as a function of the interlayer coupling strength. Furthermore, various thermodynamic variables have been determined, including the interlayer correlation function, which is proportional to the interplanar force. It is found that a Migdal-Kadanoff renormalization with a decimation procedure which involves the interlayer coupling in an appropriate fashion provides an accurate description of the phase diagram and that a mean-field description provides a good description of the phase diagram and the interplanar force, except for very low interlayer coupling strengths.

Original languageEnglish
JournalJournal of Statistical Physics
Issue number3-4
Pages (from-to)723-749
Number of pages27
Publication statusPublished - 1993
Externally publishedYes

    Research areas

  • interlayer coupling, Ising model, layered systems, mean-field theory, Monte Carlo simulation, phase diagram, renormalization group, scaling theory

ID: 236890238