Ground State and Phase Transition in the Quenched Random Mixture of Ferro-Antiferromagnets

Abstract

The energy and spin pair-correlation in the ground state and the phase transition for a random mixture of the ferro-antiferromagnets in a quenched Ising system have been investigated by a new idea based on a division of the lattice into elementary units. The effects of the loop proper to the each lattices have been explicity considered. It is demonstrated that the transition temperatures are intimately related to the ground-state energy. Monte Carlo simulations performed on the square lattice are also reported.