Dislocation Lines in Three-Dimensional Solids at Low Temperature

Roland Bauerschmidt, Diana Conache, Markus Heydenreich, Franz Merkl, Silke W.W. Rolles

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)3019-3057
Number of pages39
JournalAnnales Henri Poincare
Issue number9
StatePublished - Sep 1 2019

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics


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