PHASE DIAGRAMS OF VARIOUS KINDS OF ISING SPIN-GLASS MODELS WITH A NEW PARAMETER TO CONTROL FRUSTRATION ON A GIVEN LATTICE

Abstract

In this study, we introduce a new method to control continuously the frustration caused by the quenched interaction in a given lattice, and we examine how the phenomenon changes by continuous control of the frustration, especially examining a continuous change of phase transition points. For this purpose, we introduce many-body correlation among original spin-interactions using a distribution function to express the correlations, which plays a role of a parameter to control the frustration. The transition points have been obtained by the cluster effective field theory. As a result, an interesting phase diagram has been obtained for the continuous change of frustration. Furthermore, phase transitions of various models can be analyzed systematically in a fixed lattice from this phase diagram with a variable of continuous change of frustration. In addition, it is understood that the spin-glass transition points do not depend on the disorder of the interaction and are decided only by the frustration.