title: Double criticality of the Sherrington-Kirkpatrick model at T=0.
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.
authors.affiliation: Institut für Theoretische Physik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany.
authors.forename: R
authors.initials: R
authors.lastname: Oppermann
authors.forename: M J
authors.initials: MJ
authors.lastname: Schmidt
authors.forename: D
authors.initials: D
authors.lastname: Sherrington