Geometrically Frustrated Crystals: Elastic Theory and Dislocations
classification
❄️ cond-mat.mtrl-sci
cond-mat.mes-hall
keywords
crystalsdislocationselastictheoryanalogybendingcausedconstructed
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Elastic theory of ring-(or cylinder-)shaped crystals is constructed and the generation of edge dislocations due to geometrical frustration caused by the bending is studied. The analogy to superconducting (or superfluid) vortex state is pointed out and the phase diagram of the ring-crystal, which depends on radius and thickness, is discussed.
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