Heisenberg Spins on an Elastic Torus Section
Condensed Matter
2009-10-31 v2
Abstract
Classical Heisenberg spins in the continuum limit (i.e. the nonlinear sigma-model) are studied on an elastic torus section with homogeneous boundary conditions. The corresponding rigid model exhibits topological soliton configurations with geometrical frustration due to the torus eccentricity. Assuming small and smooth deformations allows to find shapes of the elastic support by relaxing the rigidity constraint: an inhomogeneous Lam\'e equation arises. Finally, this leads to a novel geometric effect: a global shrinking with swellings.
Cite
@article{arxiv.cond-mat/9809266,
title = {Heisenberg Spins on an Elastic Torus Section},
author = {Jerome Benoit and Rossen Dandoloff},
journal= {arXiv preprint arXiv:cond-mat/9809266},
year = {2009}
}
Comments
LaTeX+REVTeX (4 pages + 1 figure)