  A two-dimensional spin-1/2 trilayer magnetic system with quenched
non-magnetic impurity is studied. The lattice is formed by alternate layers of
two different theoretical atoms A and B arranged in a particular fashion A-B-A.
The compensation point appears below the critical temperature, for which total
magnetization of the system becomes zero even though the sublattice
magnetization has a nonzero value. For a range of values of the relative
interaction strength in the Hamiltonian, a compensation point is observed. We
considered the Ising mechanics and employed the Monte Carlo method to determine
the compensation point and critical temperature of the system. However, the
effects of impurity in such systems are still not well studied. With that in
mind, we address the effects of random non-magnetic impurity in the trilayer
system. We also investigate the lattice morphologies in the presence of
compensation and dilution and finally obtain the three-dimensional phase
diagram for selected Hamiltonian parameters and impurity concentration.
