Influence of Dislocations in Thomson's Problem

Details Influence of Dislocations in Thomson's Problem Influence of Dislocations in Thomson's Problem

1997-01-14

arxiv.org/abs/cond-mat/9701090v2

Phys. Rev. B 56, 3640 (1997)

Physics

Condensed Matter

9 pages, 4 figures in gif format. Original PS files can be obtained in http://fermi.fcu.um.es/thomson

Scientific paper

10.1103/PhysRevB.56.3640

We investigate Thomson's problem of charges on a sphere as an example of a system with complex interactions. Assuming certain symmetries we can work with a larger number of charges than before. We found that, when the number of charges is large enough, the lowest energy states are not those with the highest symmetry. As predicted previously by Dodgson and Moore, the complex patterns in these states involve dislocation defects which screen the strains of the twelve disclinations required to satisfy Euler's theorem.

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