We study the effects of disorder on the slope of the disorder-temperature phase boundary near the Onsager point (Tc = 2.269...) in spin-glass models. So far, studies have focused on marginal or irrelevant cases of disorder. Using duality arguments, as well as exact Pfaffian techniques, we reproduce these analytical estimates. In addition, we obtain different estimates for spin-glass models on hierarchical lattices where the effects of disorder are relevant. We show that the phase boundary slope near the Onsager point can be used to probe for the relevance of disorder effects.
|Journal of Statistical Mechanics: Theory and Experiment
|Published - 2011 Feb
- classical phase transitions (theory)
- disordered systems (theory)
- phase diagrams (theory)
- spin glasses (theory)