Thermal Operators in Ising Percolation

Details Thermal Operators in Ising Percolation Thermal Operators in Ising Percolation

1999-05-17

arxiv.org/abs/cond-mat/9905234v2

J.Phys.A33:2333-2344,2000

Physics

Condensed Matter

Statistical Mechanics

17 pages, 2 figures. Improved version. Major changes in the text and in the notations. A missing term added in the specific he

Scientific paper

10.1088/0305-4470/33/12/302

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 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.

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