A study of the 3D Hubbard model in the antiferromagnetic phase by means of the COM is reported in Ref. . In particular the following properties have been computed:
We found very similar results to those obtained for the 2D case (see Sec. ). The higher coordination number of the 3D model reduces the fluctuations and leads to a greater stability of the antiferromagnetic phase as a function of the temperature , the filling and the on-site Coulomb repulsion . In particular, the metallic antiferromagnetic phase extends to much lower values of the filling . For values of the repulsion up to , this additional antiferromagnetic region is separated by the antiferromagnetic phase near half-filling by a paramagnetic region. For higher values of the interaction this two regions join and reveal that they are two parts of a single antiferromagnetic solution.