Thermal Operators in Ising Percolation
Statistical Mechanics
2008-11-26 v2 High Energy Physics - Lattice
High Energy Physics - Theory
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 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
Cite
@article{arxiv.cond-mat/9905234,
title = {Thermal Operators in Ising Percolation},
author = {M. Caselle and F. Gliozzi},
journal= {arXiv preprint arXiv:cond-mat/9905234},
year = {2008}
}
Comments
17 pages, 2 figures. Improved version. Major changes in the text and in the notations. A missing term added in the specific heat representation