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.

Saved in:
Bibliographic Details
Published in:Physical review letters 2002-12, Vol.89 (28 Pt 1), p.285702-285702, Article 285702
Main Authors: van Enter, Aernout C D, Shlosman, Senya B
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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