Stationary precession topological solitons with nonzero Hopf invariant in a uniaxial ferromagnet

@article{Borisov2008StationaryPT,
  title={Stationary precession topological solitons with nonzero Hopf invariant in a uniaxial ferromagnet},
  author={Alexander B. Borisov and Filipp N. Rybakov},
  journal={JETP Letters},
  year={2008},
  volume={88},
  pages={264-267}
}
Three-dimensional stationary precession solitons with nonzero Hopf indices are found numerically by solving the Landau-Lifshitz equation. The structure and existence domain of the solitons are found. 
4 Citations

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The Portuguese team acknowledges the Network of Extreme Conditions Laboratories and Portuguese Foundation of Science and Technology for support through Projects No. NORTE-01-0145-FEDER-022096, No.

References

SHOWING 1-10 OF 31 REFERENCES

Solitons in the continuous Heisenberg spin chain

Solitons in the continuous Heisenberg spin system are studied in one dimension. We present results for soliton-soliton scattering in the isotropic case. For the anisotropic results we derive the

Vortex rings in ferromagnets: Numerical simulations of the time-dependent three-dimensional Landau-L

Vortex ring solutions are presented for the Landau-Lifshitz equation, which models the dynamics of a three-dimensional ferromagnet. The vortex rings propagate at constant speed along their symmetry

Static solitons with nonzero Hopf number

We investigate a generalized nonlinear O(3) {sigma} model in three space dimensions where the fields are maps from R{sup 3}{union}{l_brace}{infinity}{r_brace} to S{sup 2}. Such maps are classified by

Propagating Magnetic Vortex Rings in Ferromagnets

It is shown that bulk ferromagnets support propagating nonlinear modes that are analogous to the vortex rings, or ``smoke rings,'' of fluid dynamics. These are circular loops of magnetic vorticity

Bose-Einstein Condensation of Magnons in Superfluid 3He

Abstract The possibility of Bose-Einstein condensation of excitations has been discussed for a long time. The phenomenon of the phase-coherent precession of magnetization in superfluid 3He and the

Three-dimensional spiral structures in a ferromagnet

New types of three-dimensional spiral structures are found in an isotropic ferromagnet.

Knots and Particles

Using methods of high performance computing, we have found indications that knotlike structures appear as stable finite energy solitons in a realistic 3+1 dimensional model. We have explicitly