The high temperature Ising model is a critical percolation model

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Abstract

We define a new percolation model by generalising the FK representation of the Ising model, and show that on the triangular lattice and at high temperatures, the critical point in the new model corresponds to the Ising model. Since the new model can be viewed as Bernoulli percolation on a random graph, our result makes an explicit connection between Ising percolation and critical Bernoulli percolation, and gives a new justification of the conjecture that the high temperature Ising model on the triangular lattice is in the same universality class as Bernoulli percolation. © The Author(s) 2010.
Original languageEnglish
Pages (from-to)122-138
Number of pages15
JournalJournal of Statistical Physics
Volume139
DOIs
Publication statusPublished - 2010

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