Issue Europhys. Lett. Volume 60, Number 5, December 2002 Page(s) 764 - 767 Section Condensed matter: electronic structure, electrical, magnetic, and optical properties DOI 10.1209/epl/i2002-00667-5

DOI: 10.1209/epl/i2002-00667-5
Europhys. Lett., 60 (5) , pp. 764-767 (2002)

About the Almeida-Thouless transition line in the Sherrington-Kirkpatrick mean-field spin glass model

F. L. Toninelli<sup>1, 2

1</sup>  Scuola Normale Superiore - Piazza dei Cavalieri 7, 56126 Pisa, Italy
²  Istituto Nazionale di Fisica Nucleare, Sezione di Pisa - Pisa, Italy

(Received 18 July 2002; accepted in final form 24 September 2002)

Abstract
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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