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

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

We prove that various SO(n)-invariant n-vector models with interactions which have a deep and narrow enough minimum have a first-order transition in the temperature. The result holds in dimensions two or more and is independent of the nature of the low-temperature phase.

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Veröffentlicht in:Physical review letters 2002-12, Vol.89 (28 Pt 1), p.285702-285702, Article 285702
Hauptverfasser: van Enter, Aernout C D, Shlosman, Senya B
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove that various SO(n)-invariant n-vector models with interactions which have a deep and narrow enough minimum have a first-order transition in the temperature. The result holds in dimensions two or more and is independent of the nature of the low-temperature phase.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.89.285702