title: Curvature-induced frustration in the XY model on hyperbolic surfaces.
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.
authors: Department of Physics, Umeå University, 901 87 Umeå, Sweden. garuda@tp.umu.se
authors: Seung Ki
authors: SK
authors: Baek
authors: Hiroyuki
authors: H
authors: Shima
authors: Beom Jun
authors: BJ
authors: Kim