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The spontaneous magnetization is proved to vanish continuously at the critical temperature for a class of ferromagnetic Ising spin systems which includes the nearest neighbor ferromagnetic Ising spin model on $\mathbb Z^d$ in $d=3$ dimensions.
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2009
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2011
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H. Duminil -Copin, Parafermionic observables and their applications to planar statistical physics models , Ensaios Matematicos, vol. 25, Brazilian Mathematical Society, 2013
2013
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H. Duminil-Copin, V. Sidoravicius, and V. Tassion, Continuity of the phase transition for planar Potts models with 1 ≤ q ≤ 4 1\leq q\leq 4 , Preprint (2013), 50 pages
2013
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