Scaling properties of S>1/2 Ising spin glasses

Abstract

Transfer-matrix-based calculations of the defect energy in two-dimensional Ising spin glasses yield a T=0 exponent y which depends on the spin quantum number S. For a sufficiently large S there is a possibility of freezing at finite T in two dimensions. The Emery-Swendsen version of Migdal-Kadanoff recursion formula is used to investigate the S=1 two- and three-dimensional spin glasses at finite temperatures. The phase diagram on the T-single-ion anisotropy plane allows for no re-entrancy predicted by the mean-field approach.