Spontaneous breaking of rotational symmetry in the presence of defects

Markus Heydenreich; Franz Merkl; Silke Rolles

doi:10.1214/EJP.v19-2971

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Home > Journals > Electron. J. Probab. > Volume 19 > Article

2014 Spontaneous breaking of rotational symmetry in the presence of defects

Markus Heydenreich, Franz Merkl, Silke Rolles

Author Affiliations +

Markus Heydenreich,¹ Franz Merkl,² Silke Rolles³
¹Universiteit Leiden
²University of Munich
³Technical University of Munich

Electron. J. Probab. 19: 1-17 (2014). DOI: 10.1214/EJP.v19-2971

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Abstract

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. https://doi.org/10.1214/EJP.v19-2971

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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

Subjects:

Primary: 60K35

Secondary: 82B20 , 82B21

Keywords: localized defects , rigidity estimate , spontaneous symmetry breaking

Rights: Creative Commons Attribution 3.0 License

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Electron. J. Probab.

Vol.19 • 2014

Institute of Mathematical Statistics and Bernoulli Society

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Markus Heydenreich, Franz Merkl, Silke Rolles "Spontaneous breaking of rotational symmetry in the presence of defects," Electronic Journal of Probability, Electron. J. Probab. 19(none), 1-17, (2014)

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