The low-temperature free energy of the Sherrington-Kirkpatrick spin glass model

F. Koukiou

doi:10.1209/epl/i1996-00304-5

All issues

Volume 33 / No 2 (January II 1996)

Europhys. Lett., 33 2 (1996) 95-98

Abstract

Issue		Europhys. Lett. Volume 33, Number 2, January II 1996


Page(s)		95 - 98
Section		General
DOI		https://doi.org/10.1209/epl/i1996-00304-5
Published online		01 September 2002

Europhys. Lett., 33 (2), pp. 95-98 (1996)

The low-temperature free energy of the Sherrington-Kirkpatrick spin glass model

F. Koukiou¹^,2

¹ Département de Physique, Université de Cergy-Pontoise, F-95302 Cergy-Pontoise Cedex
² Centre de Physique Théorique, École Polytechnique, F-91128 Palaiseau Cedex

Received: 18 August 1995
Accepted: 23 November 1995

Abstract

We show that, for $\beta \geq 1$ , the specific free energy of the Sherrington-Kirkpatrick spin glass model is bounded by  [se the full version ].  This and the derived bound for the ground-state energy improve all the recently obtained results.

PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 75.10.-b – General theory and models of magnetic ordering / 75.50.-y – Studies of specific magnetic materials

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