IOP Publishing, Journal of Statistical Mechanics: Theory and Experiment, 01(2012), p. L01001, 2012
DOI: 10.1088/1742-5468/2012/01/l01001
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The properties of discrete two-dimensional spin glasses depend strongly on the way the zero-temperature limit is taken. We discuss this phenomenon in the context of the Migdal-Kadanoff renormalization group. We see, in particular, how these properties are connected with the presence of a cascade of fixed points in the renormalization group flow. Of particular interest are two unstable fixed points that correspond to two different spin-glass phases at zero temperature. We discuss how these phenomena are related with the presence of entropy fluctuations and temperature chaos, and universality in this model. ; Comment: 14 pages, 5 figures, 2 tables