Geometrically frustrated crystals: Elastic theory and dislocationsM. Hayashi1, 2, H. Ebisawa1, 2 and K. Kuboki3
1 Graduate School of Information Sciences, Tohoku University Aramaki Aoba-ku, Sendai 980-8579, Japan
2 JST-CREST - 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
3 Department of Physics, Kobe University - Kobe 657-8501, Japan
received 7 March 2006; accepted in final form 29 August 2006
published online 20 September 2006
Elastic theory of ring-(or cylinder-)shaped crystals is constructed and the physical properties of the edge dislocations due to geometrical frustration (bending) is studied. The analogy to superconducting (or superfluid) vortex state is pointed out and the radius vs. thickness phase diagram of the ring crystal, which shows intriguing behaviors at nanoscales, is discussed. Relation of our theory to the actual experiments on ring crystals is also discussed.
61.72.Bb - Theories and models of crystal defects.
61.82.Rx - Nanocrystalline materials.
71.45.Lr - Charge-density-wave systems.
© EDP Sciences 2006