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Heisenberg Spins on an Elastic Torus Section

Jerome Benoit·Rossen Dandoloff
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Abstract

Classical Heisenberg spins in the continuum limit (i.e. the nonlinear sigma-model) are studied on an elastic torus section with homogeneous boundary conditions. The corresponding rigid model exhibits topological soliton configurations with geometrical frustration due to the torus eccentricity. Assuming small and smooth deformations allows to find shapes of the elastic support by relaxing the rigidity constraint: an inhomogeneous Lamé equation arises. Finally, this leads to a novel geometric effect: a global shrinking with swellings.

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Jerome Benoit, Rossen Dandoloff. 1998-10-25. Heisenberg Spins on an Elastic Torus Section. https://doi.org/10.1016/s0375-9601(98)00657-4

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