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

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

2002-07-11

arxiv.org/abs/cond-mat/0207296v1

Europhys. Lett. 60 (2002) p. 764

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages

Scientific paper

10.1209/epl/i2002-00667-5

We consider the Sherrington-Kirkpatrick model and we prove that the thermodynamic limit of the quenched free energy per site is strictly greater than the corresponding replica symmetric approximation, for all values of the temperature and of the magnetic field below the Almeida-Thouless line. This is based on recent rigorous bounds by F. Guerra, relating the true free energy of the system to the Parisi solution with replica symmetry breaking.

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