Symmetric patterns of dislocations in Thomson's problem

Authors
Perez-Garrido, A Moore, MA
Citation
A. Perez-garrido et Ma. Moore, Symmetric patterns of dislocations in Thomson's problem, PHYS REV B, 60(23), 1999, pp. 15628-15631
Citations number
11
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B-CONDENSED MATTER
ISSN journal
01631829 → ACNP
Volume
60
Issue
23
Year of publication
1999
Pages
15628 - 15631
Database
ISI
SICI code
0163-1829(199912)60:23<15628:SPODIT>2.0.ZU;2-L
Abstract
Determination of the classical ground-state arrangement of N charges on the surface of a sphere (Thomson's problem) is a challenging numerical task. F or special values of N we have obtained, using the ring-removal method of T oomre, low-energy states in Thomson's problem that have icosahedral symmetr y. Lines of dislocations run between the 12 disclinations which are induced by the spherical geometry into the near triangular lattice that forms on a local scale. [S0163-1829(99)02643-0].