Hidden topological structure in the continuous Heisenberg spin chain
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
In order to study the spin configurations of the classical one-dimensional Heisenberg model, we map the normalized unit vector, representing the spin, to a space curve. We show that the total chirality of the configuration is a conserved quantity. When the space curve forms a knot, this defines a new class of topological spin configurations for the Heisenberg model.
Cite
@article{arxiv.math-ph/0404010,
title = {Hidden topological structure in the continuous Heisenberg spin chain},
author = {R. Dandoloff},
journal= {arXiv preprint arXiv:math-ph/0404010},
year = {2007}
}
Comments
2 pages