https://doi.org/10.1140/epjb/e2002-00298-2
Skyrmions on an elastic cylinder
1
Laboratoire de Physique Théorique et Modélisation,
Université de Cergy-Pontoise, 5 Mail Gay-Lussac, 95031 Cergy-Pontoise
Cedex, France
2
Theoretical Division,
Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
Corresponding author: a rossen.dandoloff@ptm.u-cergy.fr
Received:
23
October
2001
Revised:
8
March
2002
Published online:
2
October
2002
For a spin-polarized electron gas on an elastic cylinder in an external axial magnetic field and an axial electric field we find that the corresponding Euler-Lagrange equation is the double sine-Gordon (DSG) equation with an exact 2π-skyrmion solution. The DSG skyrmion is stabilized, without Coulomb repulsion, by the curvature of the cylinder. It adopts a characteristic length ξ which is smaller than the radius of the cylinder. For an elastic cylinder this mismatch of length scales causes a deformation of the cylinder in the region of the skyrmion.
PACS: 75.10.Hk – Classical spin models / 75.80.+q – Magnetomechanical and magnetoelectric effects, / 75.60.Ch – Domain walls and domain structure / 11.10.Lm – Nonlinear or nonlocal theories and models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
