Antiferromagnetic Spherical Model and the Infinite-Spin-Dimensionality Limit

Abstract

It is shown that the antiferromagnetic spherical model reveals its high-spin-dimensionality character much more directly than the usual ferromagnetic model. The introduction of a staggered ordering field requires a second spherical field. The phase boundary of the model is compared with that expected for antiferromagnetic isotropic $n$-vector systems. The results indicate that a tricritical point is unlikely to exist in spherical models.