Double criticality of the Sherrington-Kirkpatrick model at T=0 |
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Authors: | Oppermann R Schmidt M J Sherrington D |
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Affiliation: | Institut für Theoretische Physik, Universit?t Würzburg, Am Hubland, 97074 Würzburg, Germany. |
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Abstract: | Numerical results up to the 42nd order of replica-symmetry breaking (RSB) are used to predict the singular structure of the Sherrington-Kirkpatrick spin glass at T=0. We confirm predominant single parameter scaling and derive corrections for the T=0 order function q(a), related to a Langevin equation with pseudotime 1/a. a=0 and a=infinity are shown to be two critical points for infinity-RSB, associated with two discrete spectra of Parisi block size ratios, attached to a continuous spectrum. Finite-RSB-size scaling, associated exponents, and T=0-energy are obtained with unprecedented accuracy. |
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