``Smoke Rings'' in Ferromagnets

Details ``Smoke Rings'' in Ferromagnets ``Smoke Rings'' in Ferromagnets

1999-01-06

arxiv.org/abs/cond-mat/9901037v2

Phys. Rev. Lett. 82, 1554 (1999)

Physics

Condensed Matter

4 pages, 3 eps-figures, revtex with epsf.tex and multicol.sty. To appear in Physical Review Letters. (Postscript problem fixed

Scientific paper

10.1103/PhysRevLett.82.1554

It is shown that bulk ferromagnets support propagating non-linear modes that are analogous to the vortex rings, or ``smoke rings'', of fluid dynamics. These are circular loops of {\it magnetic} vorticity which travel at constant velocity parallel to their axis of symmetry. The topological structure of the continuum theory has important consequences for the properties of these magnetic vortex rings. One finds that there exists a sequence of magnetic vortex rings that are distinguished by a topological invariant (the Hopf invariant). We present analytical and numerical results for the energies, velocities and structures of propagating magnetic vortex rings in ferromagnetic materials.

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