Random field ising model in the Bethe-Peierls approximation

O. Entin-Wohlman, C. Hartzstein

Research output: Contribution to journalArticlepeer-review

Abstract

The random field Ising model is solved numerically in the Bethe-Peierls approximation. For a model with a two-peak δ distribution, the transition is first order at low temperatures and second order at high temperatures, and the tricritical point appears as an inflection point of the transition curve. The behaviour at low temperatures is analysed analytically as a function of the coordination number, and compared with the mean-field prediction.

Original languageEnglish
Pages (from-to)315-320
Number of pages6
JournalJournal of Physics A: Mathematical and General
Volume18
Issue number2
DOIs
StatePublished - 1 Feb 1985
Externally publishedYes

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