Heisenberg Spins on an Elastic Torus Section

Details Heisenberg Spins on an Elastic Torus Section Heisenberg Spins on an Elastic Torus Section

1998-09-20

arxiv.org/abs/cond-mat/9809266v2

Physics Letters A, Vol. 248, No. 5-6, pp. 439-444 (16 November 1998)

Physics

Condensed Matter

LaTeX+REVTeX (4 pages + 1 figure)

Scientific paper

10.1016/S0375-9601(98)00657-4

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 Lam\'e equation arises. Finally, this leads to a novel geometric effect: a global shrinking with swellings.

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