Electromagnetic instability of the Thomson Problem
Statistical Mechanics
2015-06-25 v1 Strongly Correlated Electrons
Abstract
The classical Thomson problem of charged particles confined to the surface of a sphere of radius is analyzed within the Darwin approximation of electrodynamics. For the ground state corresponds to a hexagonal Wigner crystal with a number of topological defects. However, if the Wigner lattice is unstable with respect to small perturbations and the ground state becomes spontaneously magnetized for finite .
Cite
@article{arxiv.cond-mat/0506616,
title = {Electromagnetic instability of the Thomson Problem},
author = {Jayme De Luca and Savio B. Rodrigues and Yan Levin},
journal= {arXiv preprint arXiv:cond-mat/0506616},
year = {2015}
}