Skyrmions on an elastic cylinder |
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| Authors: | R. Dandoloff A. Saxena |
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| Affiliation: | (1) Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, 5 Mail Gay-Lussac, 95031 Cergy-Pontoise Cedex, France, FR;(2) Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA, US |
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| Abstract: | 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. Received 23 October 2001 / Received in final form 8 March 2002 Published online 2 October 2002 RID="a" ID="a"e-mail: rossen.dandoloff@ptm.u-cergy.fr |
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| Keywords: | PACS. 75.10.Hk Classical spin models – 75.80.+q Magnetomechanical and magnetoelectric effects, magnetostriction – 75.60.Ch Domain walls and domain structure – 11.10.Lm Nonlinear or nonlocal theories and models |
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