Ultrametricity between states at different temperatures in spin-glasses
di Scienze Fisiche, Università “Federico II”, Complesso Monte S. Angelo, 80126 Napoli, Italy
Corresponding author: a firstname.lastname@example.org
Revised: 14 June 2002
Published online: 1 October 2002
We prove the existence of correlations between the equilibrium states at different temperatures of the multi-p-spin spherical spin-glass models with continuous replica symmetry breaking: there is no chaos in temperature in these models. Furthermore, the overlaps satisfy ultrametric relations. As a consequence the Parisi tree is essentially the same at all temperatures with lower branches developing when lowering the temperature. We conjecture that the reference free energies of the clusters are also fixed at all temperatures as in the generalized random-energy model.
PACS: 75.10.Nr – Spin-glass and other random models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002