Eigenvalues of the stability matrix for Parisi solution of the long-range spin-glass

C. De Dominicis, I. Kondor

Research output: Contribution to journalArticle

103 Citations (Scopus)

Abstract

We study, near Tc, the stability of Parisi's solution for the long-range spin-glass. In addition to the discrete, "longitudinal" spectrum found by Thouless, de Almeida, and Kosterlitz, we find "transverse" bands depending on one or two continuous parameters, and a host of zero modes occupying most of the parameter space. All eigenvalues are non-negative, proving that Parisi's solution is marginally stable.

Original languageEnglish
Pages (from-to)606-608
Number of pages3
JournalPhysical Review B
Volume27
Issue number1
DOIs
Publication statusPublished - 1983

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Spin glass
Stiffness matrix
spin glass
eigenvalues
matrices

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Eigenvalues of the stability matrix for Parisi solution of the long-range spin-glass. / De Dominicis, C.; Kondor, I.

In: Physical Review B, Vol. 27, No. 1, 1983, p. 606-608.

Research output: Contribution to journalArticle

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