Site bond percolation in ferromagnetic and antiferromagnetic Ising models: a renormalisation group approach
- 1 November 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (11) , 3017-3028
- https://doi.org/10.1088/0305-4470/14/11/023
Abstract
The Migdal-Kadanoff (1976) infinitesimal renormalisation group is employed to study the site bond correlated percolation problem, in a ferromagnetic and antiferromagnetic lattice gas. The general phase diagram shows that percolation is favoured by ferromagnetic interaction, while inhibited by antiferromagnetic interaction. Moreover, the lattice gas critical point is never a percolation point in the antiferromagnetic case, while it is a percolation point in the ferromagnetic case for a particular range of bond probability pB.Keywords
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