Nature of the Spin-Glass Phase

M. Mézard; G. Parisi; N. Sourlas; G. Toulouse; M. Virasoro

doi:10.1103/PhysRevLett.52.1156

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Nature of the Spin-Glass Phase

M. Mézard, G. Parisi, N. Sourlas, G. Toulouse, and M. Virasoro

Phys. Rev. Lett. 52, 1156 – Published 26 March 1984

See Focus story: Nobel Prize: Complexity, from Atoms to Atmospheres

Abstract

A probability distribution has been proposed recently by one of us as an order parameter for spin-glasses. We show that this probability depends on the particular realization of the couplings even in the thermodynamic limit, and we study its distribution. We also show that the space of states has an ultrametric topology.

Received 12 December 1983

DOI:https://doi.org/10.1103/PhysRevLett.52.1156

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Nobel Prize: Complexity, from Atoms to Atmospheres

Published 5 October 2021

The 2021 Nobel Prize in Physics honors research on complex systems that undergo significant fluctuations, including glasses and Earth’s climate.

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Authors & Affiliations

M. Mézard, G. Parisi^*, N. Sourlas, G. Toulouse^†, and M. Virasoro^‡

Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, F-75231 Paris-Cedex, France

^*Permanent address: Università di Roma II (Tor Vergata), Roma, Italy.
^†Permanent address: Laboratoire de Physique de l'Ecole Normale Supérieure, Paris, France.
^‡Permanent address: Istituto di Fisica G. Marconi, Roma, Italy.