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A note on continuity of magnetization at criticality for the ferromagnetic Ising model on amenable quasi-transitive graphs with exponential growth

Authors
  • Raoufi, Aran
Type
Preprint
Publication Date
Jun 12, 2016
Submission Date
Jun 12, 2016
Identifiers
arXiv ID: 1606.03763
Source
arXiv
License
Yellow
External links

Abstract

The purpose of this modest note is to point out that the proof of the recent result of Huchcroft concerning continuity of phase transition in Bernoulli percolation is applicable to the setting of the Ising model with free boundary condition. This observation, together with a recent result of Aizenman, Duminil-Copin, and Sidoravicius implies that the Ising model on amenable quasi-transitive graph with exponential growth undergoes a second order phase transition.

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