Quantum effects for the 2D soliton in isotropic ferromagnets
Strongly Correlated Electrons
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.cond-mat/0612152,
title = {Quantum effects for the 2D soliton in isotropic ferromagnets},
author = {Boris A. Ivanov and Denis D. Sheka and Vasilii V. Krivonos and Franz G. Mertens},
journal= {arXiv preprint arXiv:cond-mat/0612152},
year = {2007}
}
Comments
REVTeX, 5 pages, 1 figure