Non-Linear Susceptibility of Spin-Glasses on Frustrated Triangular Cactus Tree

Abstract

In order to explore the frustration effects on a non-linear susceptibility χ₂ of spin-glasses, ferro-antiferromagnetic mixtures, diluted antiferromagnets and Mattis model are comperatively investigated in line with a random ordered phase. The jump of χ₂ in the vicinity of the transition temperature is common in these models, and the magnitude of the jump is proved to depend strongly on the concentration of antiferromagnetic bond, but weakly on that of frustration.