Ising spin glasses are studied, at zero temperature, on a hierarchical lattice as an approach to the square lattice. The stiffness exponent y, which governs the behavior of the interactions under changes of scale, is computed for several distinct continuous symmetric probability distributions...

We study the critical temperatures obtained from the Migdal-Kadanoff (MK) renormalization transformation scheme for various ferromagnetic and frustrated Ising systems. We point out various problems in previous arguments and methods for obtaining the ordering temperatures for spin glasses using...