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Bauerschmidt, Roland; Conache, Diana; Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W. (2019): Dislocation Lines in Three-Dimensional Solids at Low Temperature. In: Annales Henri Poincare, Vol. 20, No. 9: pp. 3019-3057
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We propose a model for three-dimensional solids on a mesoscopic scale with a statistical mechanical description of dislocation lines in thermal equilibrium. The model has a linearized rotational symmetry, which is broken by boundary conditions. We show that this symmetry is spontaneously broken in the thermodynamic limit at small positive temperatures.