A note on a decorated ferrimagnetic Ising system

The magnetic properties (transition temperature, compensation temperature, total magnetization and initial susceptibility) of a decorated ferrimagnetic Ising system made up of two kinds of magnetic atoms, namely, atom and decorated atom with a crystal-field interaction constant D, are formulated on the basis of Ising spin identities, the differential operator technique and the renormalized effective interaction and field method. The exact expression of initial susceptibility χ in the one-dimensional system is obtained from the formulation. We find that the behavior of the χ−1 at low temperatures severely depends on whether the value of S is an integer or a half-integer, when the value of d is negative. For their evaluation in a many-dimensional system, the effective-field approximation is introduced. Within the approximation, numerical results for a decorated ferrimagnetic honeycomb lattice are obtained and discussed, selecting the typical values of S and D.