On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field

2021/03/08 by Wei‐Kuo Chen, Chen, Wei-Kuo · 1 citation
Agricultural and Biological Sciences · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Plant and animal studies #Probability (math.PR) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2103.04802

openalex publication_date 2021/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the phase transition of the free energy in the Sherrington-Kirkpatrick mean-field spin glass model with centered Gaussian external field. We show that the corresponding Almeida-Thouless line is the correct transition curve that distinguishes between the replica symmetric and replica symmetry breaking solutions in the Parisi formula.

Cited by

• Guerra interpolation for inverse freezing

Related

• On the de Almeida--Thouless Transition Surface in the Multi-Species SK Model with Centered Gaussian External Field
• The replica symmetric region in the Sherrington-Kirkpatrick mean field spin glass model. The Almeida-Thouless line
• Existence of de Almeida-Thouless-type instability in the transverse field Sherrington-Kirkpatrick model
• High temperature Sherrington-Kirkpatrick model for general spins
• Interpolations for a quantum Parisi formula in transverse field mean-field spin glass models