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Curvature-induced frustration in the XY model on hyperbolic surfaces
Umeå University, Faculty of Science and Technology, Physics.
Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan.
BK21 Physics Research Division and Department of Energy Science, Sungkyunkwan University, Suwon 440-746, Korea.
2009 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, Vol. 79, no 6, 060106(R)- p.Article in journal (Refereed) Published
Abstract [en]

We study low-temperature properties of the XY spin model on a negatively curved surface. Geometric curvature of the surface gives rise to frustration in local spin configuration, which results in the formation of high-energy spin clusters scattered over the system. Asymptotic behavior of the spin-glass susceptibility suggests a zero-temperature glass transition, which is attributed to multiple optimal configurations of spin clusters due to nonzero surface curvature of the system. It implies that a constant ferromagnetic spin interaction on a regular lattice can exhibit glasslike behavior without possessing any disorder if the lattice is put on top of a negatively curved space such as a hyperbolic surface.

Place, publisher, year, edition, pages
2009. Vol. 79, no 6, 060106(R)- p.
Keyword [en]
curvature, glass transition, geometric frustration
National Category
Other Physics Topics
Research subject
Theoretical Physics
URN: urn:nbn:se:umu:diva-27690DOI: 10.1103/PhysRevE.79.060106OAI: diva2:277105
Available from: 2009-11-23 Created: 2009-11-16 Last updated: 2009-11-23Bibliographically approved

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