Geometrically Frustrated Crystals: Elastic Theory and Dislocations

Physics – Condensed Matter – Materials Science

Scientific paper

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4 pages, 3 figures

Scientific paper

10.1209/epl/i2006-10265-7

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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