On topological spin excitations on a rigid torus

Details On topological spin excitations on a rigid torus On topological spin excitations on a rigid torus

2008-09-11

arxiv.org/abs/0809.2100v1

Phys. Rev. B 77 (2008) 134450

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 9 figures

Scientific paper

10.1103/PhysRevB.77.134450

We study Heisenberg model of classical spins lying on the toroidal support, whose internal and external radii are $r$ and $R$, respectively. The isotropic regime is characterized by a fractional soliton solution. Whenever the torus size is very large, $R\to\infty$, its charge equals unity and the soliton effectively lies on an infinite cylinder. However, for R=0 the spherical geometry is recovered and we obtain that configuration and energy of a soliton lying on a sphere. Vortex-like configurations are also supported: in a ring torus ($R>r$) such excitations present no core where energy could blow up. At the limit $R\to\infty$ we are effectively describing it on an infinite cylinder, where the spins appear to be practically parallel to each other, yielding no net energy. On the other hand, in a horn torus ($R=r$) a singular core takes place, while for $R

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