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

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-...

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Detalles Bibliográficos
Autores: Belo, L. R. A., Oliveira Neto, N. M., Moura Melo, W. A., Pereira, A. R., Ercolessi, Elisa
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:Brasil
Institución:Universidade Federal de Viçosa (UFV)
Repositorio:LOCUS Repositório Institucional da UFV
Idioma:inglés
OAI Identifier:oai:locus.ufv.br:123456789/22255
Acceso en línea:https://doi.org/10.1016/j.physleta.2007.01.044
http://www.locus.ufv.br/handle/123456789/22255
Access Level:acceso abierto
Palabra clave:Heisenberg model
Negative curvature
Topological spin
Descripción
Sumario: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 an antivortex at large distances so that the pair may dissociate at arbitrarily low temperature.