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Curvature-induced f...
Curvature-induced frustration in the XY model on hyperbolic surfaces
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- Baek, Seung Ki, 1979- (author)
- Umeå universitet,Institutionen för fysik
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- Shima, Hiroyuki (author)
- Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan
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- Kim, Beom Jun (author)
- KTH,Beräkningsbiologi, CB,BK21 Physics Research Division and Department of Energy Science, Sungkyunkwan University, Suwon 440-746, Korea
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(creator_code:org_t)
- 2009
- 2009
- English.
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In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. - 1539-3755. ; 79:6, s. 060106(R)-
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
Keyword
- SPIN-GLASS
- SUPERCOOLED LIQUIDS
- PHASE-TRANSITIONS
- GAUGE GLASS
- GEOMETRY
- ARRAYS
- FIELD
- Physics
- Fysik
- Statistical physics
- teoretisk fysik
Publication and Content Type
- ref (subject category)
- art (subject category)
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