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Curvature-induced frustration in the XY model on hyperbolic surfaces
KTH, School of Computer Science and Communication (CSC), Computational Biology, CB.
2009 (English)In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 79, no 6, 060106- 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- p.
Keyword [en]
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-32320DOI: 10.1103/PhysRevE.79.060106ISI: 000267698700006ScopusID: 2-s2.0-67650128392OAI: diva2:409988
Swedish Research Council, 621-2002-4135
QC 20110412Available from: 2011-04-12 Created: 2011-04-12 Last updated: 2011-04-12Bibliographically approved

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Kim, Beom Jun
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