Heisenberg model on a space with negative curvature: topological spin textures on the pseudosphere

Details Heisenberg model on a space with negative curvature: topological spin textures on the pseudosphere Heisenberg model on a space with negative curvature: topological spin textures on the pseudosphere

2006-12-22

arxiv.org/abs/cond-mat/0612582v1

Physics Letters A 365 (2007) 463-468

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 2 figures, submitted to Phys. Lett. A

Scientific paper

10.1016/j.physleta.2007.01.044

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.

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