On the de Almeida--Thouless Transition Surface in the Multi-Species SK Model with Centered Gaussian External Field
Heejune Kim
公開日: 2025/9/22
Abstract
We study the phase transition of the Parisi formula for the free energy in the multi-species Sherrington--Kirkpatrick model with a centered Gaussian external field and a positive-semidefinite variance profile matrix. We show that in terms of the strength of the external field and the variance profile, the de Almeida--Thouless surface delineates the boundary between replica symmetric solutions and replica symmetry breaking solutions.