Ordering in Certain Statistical Systems of Ising Spins

Publisher Website
Google Scholar
Abstract
A system of two sorts of Ising spins, which distribute on a decorated lattice and couple with their neighbouring spins by two kinds of antiferromagnetic exchange interaction, is found to show a number of varieties in its magnetic properties, according to the type of the matrix lattice which is obtained by removal of the decorating lattice points and to the ratios between the exchange interactions and between the magnetic moments of the two sorts of spins. In this respect the matrix lattice can be classified into two groups: viz. A and B groups. The most interesting characteristic of the models relates with those of the B group. In those models the long range spin ordering can appear in two separated temperature regions, of which the lower one is ferromagnetic and the higher one is antiferromagnetic. Exact calculations can be made only on certain plane decorated lattices. It is expected that not a few three-dimensional lattices belong to the B group, although the plane lattices fail to fall into that group.

This publication has 0 references indexed in Scilit: