http://www.cnr.it/ontology/cnr/individuo/prodotto/ID203452
Low-temperature mass spectrum in the Ising spin glass (Articolo in rivista)
- Type
- Label
- Low-temperature mass spectrum in the Ising spin glass (Articolo in rivista) (literal)
- Anno
- 2010-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1209/0295-5075/92/17003 (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- A. Crisanti (1); C. De Dominicis (2) (literal)
- Pagina inizio
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- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
- Note
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- 1) Dipartimento di Fisica, Università di Roma \"La Sapienza\" and ISC-CNR - P.le Aldo Moro 2, I-00185 Roma, Italy, EU
2) Institut de Physique Théorique, CEA - Saclay - Orme des Merisiers, 91191 Gif-sur-Yvette, France, EU (literal)
- Titolo
- Low-temperature mass spectrum in the Ising spin glass (literal)
- Abstract
- We study the spectrum of the Hessian of the Sherrington-Kirkpatrick model near T = 0, whose eigenvalues are the masses of the bare propagators in the expansion around the mean-field solution. In the limit T<<1 two regions can be identified. The first for x close to 0, where x is the Parisi replica-symmetry-breaking scheme parameter. In this region the spectrum of the Hessian is not trivial, and maintains the structure of the full replica-symmetry-breaking state found at higher temperatures. In the second region T << x << 1 as T -> 0, the bands typical of the full replica-symmetry-breaking state collapse and only two eigenvalues are found: a null one and a positive one. We argue that this region has a droplet-like behavior. In the limit T -> 0 the width of the full replica-symmetry- breaking region shrinks to zero and only the droplet-like scenario survives. (literal)
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