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.
Funding Statement
Partly supported by NSF grant DMS-17-52184.
Acknowledgments
The author thanks the anonymous referees for some helpful comments regarding the presentation of this paper. Special thanks are due to Si Tang for running the simulations in Figures 1 and 2.
Citation
Wei-Kuo Chen. "On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field." Electron. Commun. Probab. 26 1 - 9, 2021. https://doi.org/10.1214/21-ECP439
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