Analytical calculation of two leading exponents of the dilute Potts model
- 1 January 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (1) , 199-213
- https://doi.org/10.1088/0305-4470/15/1/028
Abstract
A Potts model on a square lattice with two- and four-spin interaction and site and bond dilution is shown to be dual to itself. The model is mapped onto a vertex problem which in turn is equivalent to a solid on solid model. By means of these mappings the dilute Potts model can be written as a Gaussian-like model with staggered and direct periodic fields. The leading and next-to-leading exponents of the Potts model are calculated, subject to the validity of certain assumptions.Keywords
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