The phase transition of the q-state Potts spin-glass model is studied with the real-space renormalization group approach on general diamond hierarchical lattices. The model, with q=2 up to six Potts states, is investigated for the particular cases of lattices with scaling factor b=2 and...

The multifractal properties of the order parameter of Ising spin models on hierarchical lattices are investigated by an exact recursion procedure. Both pure and spin glass cases exhibit an order parameter with multifractal structure at the critical point. The connection between the multifractal...