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Автор J. Houdayer
Автор O. C. Martin
Дата выпуска 2000-03-15
dc.description A controversial issue in spin glass theory is whether mean field correctly describes 3-dimensional spin glasses. If it does, how can replica symmetry breaking arise in terms of spin clusters in Euclidean space? Here we argue that there exist system-size low-energy excitations that are “sponge-like”, generating multiple valleys separated by diverging energy barriers. The droplet model should be valid for length scales smaller than the size of the system (θ > 0), but nevertheless there can be system-size excitations of constant energy without destroying the spin glass phase. The picture we propose then combines droplet-like behavior at finite length scales with a potentially mean-field behavior at the system-size scale.
Формат application.pdf
Издатель Institute of Physics Publishing
Копирайт 2000 EDP Sciences
Название A geometrical picture for finite-dimensional spin glasses
Тип lett
DOI 10.1209/epl/i2000-00221-7
Electronic ISSN 1286-4854
Print ISSN 0295-5075
Журнал EPL (Europhysics Letters)
Том 49
Первая страница 794
Последняя страница 800
Аффилиация J. Houdayer; Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud F-91405 Orsay, France
Аффилиация O. C. Martin; Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud F-91405 Orsay, France
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