A decorated Ising system with a random field at a decorated site

The magnetic properties of a decorated Ising system with a random field at the decorated atom are investigated by the use of the effective-field theory with correlations. In particular, the phase diagram and magnetization curve of the decorated ferrimagnetic honeycomb lattice are examined numerically. We find a lot of characteristic features in them, such as the possibility of two compensation points and the reentrant phenomenon.