Hidden topological structure in the continuous Heisenberg spin chain

Details Hidden topological structure in the continuous Heisenberg spin chain Hidden topological structure in the continuous Heisenberg spin chain

2004-04-02

arxiv.org/abs/math-ph/0404010v1

Physics

Mathematical Physics

2 pages

Scientific paper

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.

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