On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field
classification
❄️ cond-mat.dis-nn
math-phmath.MPmath.PR
keywords
transitionalmeida-thoulesscenteredexternalfieldgaussianlinemodel
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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.
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