Thouless–Anderson–Palmer Equations for the Ghatak–Sherrington Mean Field Spin Glass Model

We derive the Thouless–Anderson–Palmer (TAP) equations for the Ghatak and Sherrington model (J Phys C 10(16):3149–3156, 1977). Our derivation, based on the cavity method, holds at high temperature and at all values of the crystal field. It confirms the prediction of Yokota (J Phys Condens Matter 4(1...

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Veröffentlicht in:	Journal of statistical physics 2021-08, Vol.184 (2), Article 22
Hauptverfasser:	Auffinger, Antonio, Chen, Cathy Xi
Format:	Artikel
Sprache:	eng
Schlagworte:	High temperature Mathematical and Computational Physics Mathematical models Physical Chemistry Physical Sciences Physics Physics and Astronomy Physics, Mathematical Quantum Physics Science & Technology Spin glasses Statistical Physics and Dynamical Systems Theoretical
Online-Zugang:	Volltext
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Zusammenfassung:	We derive the Thouless–Anderson–Palmer (TAP) equations for the Ghatak and Sherrington model (J Phys C 10(16):3149–3156, 1977). Our derivation, based on the cavity method, holds at high temperature and at all values of the crystal field. It confirms the prediction of Yokota (J Phys Condens Matter 4(10):2615–2622, 1992).
ISSN:	0022-4715 1572-9613
DOI:	10.1007/s10955-021-02803-4