Volume 60, Number 5, December 2002
|Page(s)||764 - 767|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 November 2002|
About the Almeida-Thouless transition line in the Sherrington-Kirkpatrick mean-field spin glass model
Scuola Normale Superiore - Piazza dei
Cavalieri 7, 56126 Pisa, Italy
2 Istituto Nazionale di Fisica Nucleare, Sezione di Pisa - Pisa, Italy
Accepted: 24 September 2002
We consider the Sherrington-Kirkpatrick model and we prove that the quenched free energy per spin is strictly larger than the corresponding replica symmetric approximation, for all values of the temperature and of the magnetic field below the Almeida-Thouless line. This implies the breaking of replica symmetry in the whole expected spin glass phase.
PACS: 75.10.Nr – Spin-glass and other random models
© EDP Sciences, 2002
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