Thermal operators in Ising percolation
Open Access
- 23 March 2000
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 33 (12) , 2333-2344
- https://doi.org/10.1088/0305-4470/33/12/302
Abstract
We discuss a new cluster representation for the internal energy and the specific heat of the d -dimensional Ising model, obtained by studying the percolation mapping of an Ising model with an arbitrary set of antiferromagnetic links. Such a representation relates the thermal operators to the topological properties of the Fortuin-Kasteleyn (FK) clusters of Ising percolation and is a powerful tool to get new exact relations on the topological structure of FK clusters of the Ising model defined on an arbitrary graph.Keywords
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