Quantum effects for the 2D soliton in isotropic ferromagnets

Details Quantum effects for the 2D soliton in isotropic ferromagnets Quantum effects for the 2D soliton in isotropic ferromagnets

2006-12-06

arxiv.org/abs/cond-mat/0612152v2

Phys. Rev. B 75, 132401 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

REVTeX, 5 pages, 1 figure

Scientific paper

10.1103/PhysRevB.75.132401

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.

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