Magnetic phase diagram for a random three-dimensional Ising point-dipole lattice

It is shown, within the framework of the generalized mean-field theory, that the ground state of a system of Ising point dipoles randomly filling the sites of a three-dimensional cubic lattice depends on the fraction p of filled sites. For example, a body-centered lattice is ferromagnetic at p>pc1≈0.55, a spin glass at pc1<p<pc2≈0.35, and paramagnetic at p< pc2. The transition between these states has a percolation nature. The temperature dependences of the magnetization in the ferromagnetic phase and the susceptibility in the paramagnetic phase were determined. The magnetic phase diagram of the system was constructed.