The critical Ising model on amenable graphs of exponential growth
Aran Raoufi
ETH Zürich, Switzerland
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Abstract
The purpose of this note is to point out that the proof of the recent result of Hutchcroft [Hut] concerning continuity of the phase transition in Bernoulli percolation is applicable to the setting of the Ising model with free boundary conditions. This observation, together with a recent result of Aizenman, Duminil-Copin, and Sidoravicius [ADS] implies that the Ising model on any amenable transitive graph with exponential growth undergoes a continuous phase transition.
Cite this article
Aran Raoufi, The critical Ising model on amenable graphs of exponential growth. Enseign. Math. 64 (2018), no. 3/4, pp. 305–314
DOI 10.4171/LEM/64-3/4-4