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Motion of vortices in ferromagnetic spin-1 BEC

2018/03/16 by É. B. Sonin, E. B. Sonin
Physics and Astronomy · #Anisotropy #Condensed matter physics #Ferromagnetism #Magnetic properties of thin films #Magnus effect #Mechanics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Spin (aerodynamics) #Superfluidity #Topological quantum number #Vortex #cond-mat.other

paper · pdf · doi:10.1063/1.5041431

published in Low Temperature Physics 44(7), 655-662 (American Institute of Physics) · 19 pages, 2 figures, to be published in the special issue of Fizika Nizkikh Temperatur dedicated to A.M.Kosevich. arXiv admin note: substantial text overlap with arXiv:1801.01099

arxiv created 2018/03/16 · openalex publication_date 2018/07/01 · arxiv updated 2018/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The paper investigates dynamics of nonsingular vortices in a ferromagnetic spin-1 BEC, where spin and mass superfluidity coexist in the presence of uniaxial anisotropy (linear and quadratic Zeeman effect). The analysis is based on hydrodynamics following from the Gross–Pitaevskii theory. Cores of nonsingular vortices are skyrmions with charge, which is tuned by uniaxial anisotropy and can have any fractal value between 0 and 1. There are circulations of mass and spin currents around these vortices. The results are compared with the equation of vortex motion derived earlier in the Landau–Lifshitz–Gilbert theory for magnetic vortices in easy-plane ferromagnetic insulators. In the both cases the transverse gyrotropic force (analog of the Magnus force in super-fluid and classical hydrodynamics) is proportional to the charge of skyrmions in vortex cores.

Citations