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  • Baek, Seung Ki, 1979-, et al. (author)
  • Curvature-induced frustration in the XY model on hyperbolic surfaces
  • 2009
  • In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. - 1539-3755. ; 79:6, s. 060106(R)-
  • Journal article (peer-reviewed)abstract
    • 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.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Kim, Beom JUn (1)
Baek, Seung Ki, 1979 ... (1)
Shima, Hiroyuki (1)
University
Umeå University (1)
Royal Institute of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2009 (1)

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