Quantum effects for the 2D soliton in isotropic ferromagnets

Abstract

We evaluate a zero-point quantum correction to a Belavin-Polyakov soliton in an isotropic 2D ferromagnet. By revising the scattering problem of quasi-particles by a soliton we show that it leads to the Aharonov-Bohm type of scattering, hence the scattering data can not be obtained by the Born approximation. We proof that the soliton energy with account of quantum corrections does not have a minimum as a function of its radius, which is usually interpreted as a soliton instability. On the other hand, we show that long lifetime solitons can exist in ferromagnets due to an additional integral of motion, which is absent for the sigma-model.

REVTeX, 5 pages, 1 figure

References in corpus (6)

• Internal Modes and Magnon Scattering on Topological Solitons in 2d Easy-Axis Ferromagnets
• Amplitudes for magnon scattering by vortices in two-dimensional weakly easy-plane ferromagnets
• The Casimir energy of skyrmions in the 2+1-dimensional O(3)-model
• Soliton-Magnon Scattering in Two-Dimensional Isotropic Ferromagnets
• Quantum fluctuations of classical skyrmions in quantum Hall Ferromagnets
• Levinson theorem for Aharonov-Bohm scattering in two dimensions

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• Magnonic Casimir Effect in Ferrimagnets
• Spin waves scattering on a Bloch point
• Non-Hermitian Casimir effect of magnons
• An improved discretization of Schrodinger-like radial equations
• Large and exact quantum degeneracy in a Skyrmion magnet
• Quantum Interactions of Topological Solitons from Electrodynamics