Effect of three-body interactions on the ordering of bcc binary alloys

Zoltàn Ràcz, Malcolm F. Collins

Research output: Contribution to journalArticle

18 Citations (Scopus)


The composition dependence of the order disorder critical temperature is investigated for a model binary alloy equivalent to an Ising system with both the nearest-neighbor interactions (J) and the three-particle interactions (P) present. Using a real-space renormalization-group method for calculating the phase diagram, we find that for small three-body forces, the maximum critical temperature shifts from the 50-50 atomic percent composition proportionally to PJ. The proportionality constant is determined both from the renormalization-group method and from Griffith's smoothness postulate. The results of the two calculations agree with each other, and they are used to estimate the relative strength of the three-body potentials in iron cobalt. The estimate PJ=0.11 0.06 indicates that three-body forces are small, so that the nearest-neighbor Ising model is a good first approximation for the description of ordering in FeCo.

Original languageEnglish
Pages (from-to)229-237
Number of pages9
JournalPhysical Review B
Issue number1
Publication statusPublished - Jan 1 1980

ASJC Scopus subject areas

  • Condensed Matter Physics

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