Phys. Rev. Lett. 98, 127201 (2007) [4 pages]Double Criticality of the Sherrington-Kirkpatrick Model at T=0Received 26 August 2006; published 20 March 2007 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=∞ are shown to be two critical points for ∞-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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.127201
DOI:
10.1103/PhysRevLett.98.127201
PACS:
75.10.Nr, 75.10.Hk, 75.40.Cx
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