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
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
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