2006/12/31 by B. A. Ivanov, Boris A. Ivanov, Denis D. Sheka +3 · 15 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Condensed matter physics #Ferromagnetism #Isotropy #Nonlinear system #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quasiparticle #RADIUS #Scattering #Soliton #Spin (aerodynamics) #Superconductivity #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.75.132401
published in Physical Review B 75(13) (American Physical Society) · REVTeX, 5 pages, 1 figure
arxiv created 2007/01/22 · openalex publication_date 2007/04/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We evaluate a zero-point quantum correction to a Belavin-Polyakov soliton in an isotropic two-dimensional ferromagnet. By revising the scattering problem of quasiparticles by a soliton we show that it leads to the Aharonov-Bohm type of scattering; hence the scattering data cannot be obtained by the Born approximation. We prove 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 \ensuremathσ model.