Glass-like behaviour of a spherical model with oscillatory long-range potential

Abstract

A one-dimensional spherical model with an oscillatory long-range potential is shown to have zero spontaneous magnetization at all temperatures but to have a transition to a phase in which the pair correlation function possesses oscillatory long-range order with period commensurate with that of the potential. The zero-field susceptibility is shown to be finite and possess a cusp singularity at a finite critical temperature. © 1986.