Spontaneous breaking of rotational symmetry in the presence of defects

Markus Heydenreich; Franz Merkl; Silke W.W. Rolles

doi:10.1214/EJP.v19-2971

Spontaneous breaking of rotational symmetry in the presence of defects

Markus Heydenreich, Franz Merkl, Silke W.W. Rolles

Associate Professorship of Probability Theory

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Article number	111
Journal	Electronic Journal of Probability
Volume	19
DOIs	https://doi.org/10.1214/EJP.v19-2971
State	Published - 11 Dec 2014

Keywords

Localized defects
Rigidity estimate
Spontaneous symmetry breaking

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10.1214/EJP.v19-2971

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title = "Spontaneous breaking of rotational symmetry in the presence of defects",

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.",

keywords = "Localized defects, Rigidity estimate, Spontaneous symmetry breaking",

author = "Markus Heydenreich and Franz Merkl and Rolles, {Silke W.W.}",

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AU - Heydenreich, Markus

AU - Merkl, Franz

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N2 - 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.

AB - 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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KW - Rigidity estimate

KW - Spontaneous symmetry breaking

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JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

M1 - 111

ER -

Spontaneous breaking of rotational symmetry in the presence of defects

Abstract

Keywords

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