Spontaneous breaking of rotational symmetry in the presence of defects
Markus Heydenreich, Franz Merkl, Silke W.W. Rolles
TL;DR
This paper proves that in a 2D crystal with randomly missing atoms, rotational symmetry is spontaneously broken at low temperatures, revealing a fundamental phase transition in defect-laden materials.
Contribution
It establishes a rigorous proof of spontaneous rotational symmetry breaking in a simple defect model at low temperature.
Findings
Rotational symmetry is broken in the presence of defects.
The proof applies to a model with isolated missing atoms.
Symmetry breaking occurs at low temperature.
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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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum chaos and dynamical systems · Theoretical and Computational Physics