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

8 Mar 2021  ·  Wei-Kuo Chen ·

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 Almeida-Thouless line is the correct transition curve that distinguishes between the replica symmetric and asymmetric solutions in the Parisi formula...

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Disordered Systems and Neural Networks Mathematical Physics Mathematical Physics Probability