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Session E9 - Magnetism-Theory.
MIXED session, Tuesday morning, March 19
Room 132, America's Center
We study classical Heisenberg spins coupled by isotropic (or anisotropic) spin-spin interaction on a variety of elastically deformable curved geometries, e.g. sphere, cylinder, torus, etc. In the continuum limit the magnetic part of the Hamiltonian is given by the nonlinear sigma model. By applying a nonlinear transformation we decouple the magnetic and elastic parts of the Hamiltonian. The self-dual equations associated with the magnetic part reduce to Cauchy-Riemann relations between the magnetic (spin) variables. We thus obtain a new class of exact solutions that describe nontrivial spin configurations corresponding to a hierarchy of twists on the surface of the above geometries. A few multi-twist solutions will be illustrated on the surface of a deformable cylinder. The associated magnetoelastic effects in the context of materials (e.g. cylindrically wrapped thin films of magnetic materials) will be discussed.