Heisenberg model on a space with negative curvature: topological spin textures on the pseudosphere
arXiv:cond-mat/0612582 · doi:10.1016/j.physleta.2007.01.044
Abstract
Heisenberg-like spins lying on the pseudosphere (a 2-dimensional infinite space with constant negative curvature) cannot give rise to stable soliton solutions. Only fractional solutions can be stabilized on this surface provided that at least a hole is incorporated. We also address the issue of `in-plane' vortices, in the XY regime. Interestingly, the energy of a single vortex no longer blows up as the excitation spreads to infinity. This yields a non-confining potential between a vortex and a antivortex at large distances so that the pair may dissociate at arbitrarily low temperature.
10 pages, 2 figures, submitted to Phys. Lett. A
References in corpus (1)
Cited by in corpus (10)
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- Phase transition of -state clock models on heptagonal lattices
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- Thermodynamics and structure of simple liquids in the hyperbolic plane
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