Translator Disclaimer
2009 Spontaneous breaking of continuous rotational symmetry in two dimensions
Franz Merkl, Silke Rolles
Author Affiliations +
Electron. J. Probab. 14: 1705-1726 (2009). DOI: 10.1214/EJP.v14-671

Abstract

In this article, we consider a simple model in equilibrium statistical mechanics for a two-dimensional crystal without defects. In this model, the local specifications for infinite-volume Gibbs measures are rotationally symmetric. We show that at sufficiently low, but positive temperature, rotational symmetry is spontaneously broken in some infinite-volume Gibbs measures.

Citation

Download Citation

Franz Merkl. Silke Rolles. "Spontaneous breaking of continuous rotational symmetry in two dimensions." Electron. J. Probab. 14 1705 - 1726, 2009. https://doi.org/10.1214/EJP.v14-671

Information

Accepted: 10 August 2009; Published: 2009
First available in Project Euclid: 1 June 2016

zbMATH: 1191.60115
MathSciNet: MR2535010
Digital Object Identifier: 10.1214/EJP.v14-671

Subjects:
Primary: 60K35
Secondary: 82B20, 82B21

JOURNAL ARTICLE
22 PAGES


SHARE
Vol.14 • 2009
Back to Top