Phase diagrams of random Ising magnets

M. F. Thorpe, A. R. McGurn

Research output: Contribution to journalArticlepeer-review

72 Scopus citations


We examine the various kinds of phase diagrams that can occur in magnetic alloys when all the interactions have the same sign, i.e., all ferromagnetic. It is pointed out that these phase diagrams can be usefully cataloged in terms of the initial slope of the transition temperature Tc with concentration p at the two points p=0 and p=1. For the two-dimensional Ising model, these initial slopes can be obtained exactly, using perturbation theory, for alloys involving either bond or site disorder. For site disorder we obtain results for a spin S in a host with spin 1/2. We show that mean-field theory is fairly reliable but fails to predict some kinds of phase diagrams that may occur.

Original languageEnglish (US)
Pages (from-to)2142-2153
Number of pages12
JournalPhysical Review B
Issue number5
StatePublished - 1979

ASJC Scopus subject areas

  • Condensed Matter Physics


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