The random Ising model on cacti lattices

M. F. Thorpe

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The author studies the random bond Ising model on pseudolattices containing triangles. By using the star-triangle transformation, the problem can be mapped onto a Bethe lattice where the solution to the random bond problem is well known. The solution is examined for the dilute ferromagnet in detail. It is shown that the transition temperature goes to zero at the percolation concentration as one would expect.

Original languageEnglish (US)
Article number025
Pages (from-to)955-962
Number of pages8
JournalJournal of Physics A: Mathematical and General
Issue number5
StatePublished - Dec 1 1978

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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