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