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.
arXiv comment10 pages, 2 figures, submitted to Phys. Lett. A
References in corpus (8)
- Geometric effects on critical behaviours of the Ising model
- The dynamic exponent of the Ising model on negatively curved surfaces
- Heisenberg spins on a cone: an interplay between geometry and magnetism
- Geometrical pinning of magnetic vortices induced by a deficit angle on a surface: anisotropic spins on a conic space background
- Oscillating Solitons Pinned to a Nonmagnetic Impurity in Layered Antiferromagnets
- Diluted planar ferromagnets: nonlinear excitations on a non-simply connected manifold
- Novel scaling behavior of the Ising model on curved surfaces
- Charge Fluctuations for a Coulomb Fluid in a Disk on a Pseudosphere
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