Deformable curved magnetic surfaces

A. Saxena, R. Dandoloff and T. Lookman

Physica A: Statistical Mechanics and its Applications, 1998, vol. 261, issue 1, 13-25

Abstract: We study curved magnetic surfaces in the context of soft condensed matter. Specifically, we consider classical Heisenberg spins on elastically deformable curved geometries in orthogonal curvilinear coordinates such as a cylinder, a torus, etc. We find that a mismatch of length scales (geometrical frustration) in the presence of magnetic solitons leads to an elastic soliton (deformation) on the magnetic surfaces. We illustrate the results on (i) a circular cylinder with either spin anisotropy or external magnetic field or multiple solitons, (ii) an elliptic cylinder and (iii) a torus section. Our results are applicable to microtubules and vesicles (spheroidal or toroidal) comprised of magnetic organic materials such as magnetic polymers.

Keywords: Magnetoelasticity; Self-duality; sine-Gordon and double sine-Gordon solutions (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:261:y:1998:i:1:p:13-25

DOI: 10.1016/S0378-4371(98)00378-1

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