The random Ising model on cacti lattices

M. F. Thorpe

doi:10.1088/0305-4470/11/5/025

The random Ising model on cacti lattices

M. F. Thorpe

Arizona State University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 language	English (US)
Article number	025
Pages (from-to)	955-962
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	11
Issue number	5
DOIs	https://doi.org/10.1088/0305-4470/11/5/025
State	Published - Dec 1 1978

ASJC Scopus subject areas

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

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10.1088/0305-4470/11/5/025

Cite this

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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.",

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AB - 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.

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The random Ising model on cacti lattices

Abstract

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