On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field
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.
PDF AbstractCategories
Disordered Systems and Neural Networks
Mathematical Physics
Mathematical Physics
Probability