Reply to Comment on ``Spherical 2+p spin-glass model: an analytically solvable model with a glass-to-glass transition''

TL;DR

This paper refutes Krakoviack's proposed phase behavior for the s+p spin-glass model, demonstrating that the system's physics significantly differ when p-s is large, invalidating the earlier one-step replica symmetry breaking scenario.

Contribution

It clarifies the phase behavior of the s+p spin-glass model for large p-s, challenging previous interpretations based on one-step replica symmetry breaking.

Findings

The physics of the s+p spin-glass model changes significantly when p-s is large.

The instability of the one-step replica symmetry breaking phase is more extensive than previously thought.

Krakoviack's proposed glass-to-glass transition scenario must be reconsidered.

Abstract

In his Comment, Krakoviack [Phys. Rev. B (2007)] finds that the phase behavior of the s+p spin-glass model is different from what proposed by Crisanti and Leuzzi [Phys. Rev. B 73, 014412 (2006)] if s and p are larger than two and are separated well enough. He proposes a trial picture, based on a one step replica symmetry breaking solution, displaying a mode-coupling-like glass-to-glass transition line ending in a A3 singularity. However, actually, the physics of these systems changes when p-s is large, the instability of which the one step replica symmetry breaking glassy phase suffers turns out to be so wide ranging that the whole scenario proposed by Krakoviack must be seriously reconsidered.