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The properties of discrete two-dimensional spin glasses depend strongly onthe way the zero-temperature limit is taken. We discuss this phenomenon in thecontext of the Migdal-Kadanoff renormalization group. We see, in particular,how these properties are connected with the presence of a cascade of fixedpoints in the renormalization group flow. Of particular interest are twounstable fixed points that correspond to two different spin-glass phases atzero temperature. We discuss how these phenomena are related with the presenceof entropy fluctuations and temperature chaos, and universality in this model.

journal of statistical mechanics

The nature of the different zero-temperature phases in discrete  two-dimensional spin glasses: Entropy, universality, chaos and cascades in  the renormalization group flow