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2014 Spontaneous breaking of rotational symmetry in the presence of defects
Markus Heydenreich, Franz Merkl, Silke Rolles
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Electron. J. Probab. 19: 1-17 (2014). DOI: 10.1214/EJP.v19-2971


We prove a strong form of spontaneous breaking of rotational symmetry for a simple model of two-dimensional crystals with random defects in thermal equilibrium at low temperature. The defects consist of isolated missing atoms.


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Markus Heydenreich. Franz Merkl. Silke Rolles. "Spontaneous breaking of rotational symmetry in the presence of defects." Electron. J. Probab. 19 1 - 17, 2014.


Accepted: 11 December 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1307.60142
MathSciNet: MR3296527
Digital Object Identifier: 10.1214/EJP.v19-2971

Primary: 60K35
Secondary: 82B20 , 82B21

Keywords: localized defects , rigidity estimate , spontaneous symmetry breaking

Vol.19 • 2014
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