The random Ising model on cacti lattices

Michael Thorpe

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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: General Physics
Volume11
Issue number5
DOIs
StatePublished - 1978
Externally publishedYes

Fingerprint

Cactus
Ising model
triangles
Ising Model
Triangle
Bethe Lattice
Ferromagnet
Superconducting transition temperature
Stars
Star
transition temperature
stars
Zero

ASJC Scopus subject areas

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

Cite this

The random Ising model on cacti lattices. / Thorpe, Michael.

In: Journal of Physics A: General Physics, Vol. 11, No. 5, 025, 1978, p. 955-962.

Research output: Contribution to journalArticle

Thorpe, Michael. / The random Ising model on cacti lattices. In: Journal of Physics A: General Physics. 1978 ; Vol. 11, No. 5. pp. 955-962.
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