First-order transitions for n-vector models in two and more dimensions: Rigorous proof

Aernout C.D. Van Enter, Senya B. Shlosman

Research output: Contribution to journalArticlepeer-review

53 Citations (Scopus)

Abstract

The existence of first-order transitions for a wide class of nonlinear vector models was proved. An important consequence of this result is that the occurrence of such first-order transitions for sufficiently steep and narrow interactions limits the validity of strong universality claims which would suggest that knowing the symmetry and the dimension of the interaction suffices for determining the order of the transition.

Original languageEnglish
Article number285702
Pages (from-to)285702/1-285702/3
JournalPhysical Review Letters
Volume89
Issue number28 I
Publication statusPublished - 31 Dec 2002
Externally publishedYes

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