Quenched bond-mixed cubic ferromagnet in a planar self-dual lattice: Critical behavior.

The critical behavior of the quenched bond-mixed ferromagnetic cubic model, on a planar self-dual hierarchical lattice, is investigated within a simple real-space renormalization group. We obtain the complete phase diagram of the system, exhibiting three phases. This phase diagram is believed to be of high precision for the square lattice. The correlation-length critical exponents and the universality classes are determined as well