Volume 58, Number 3, May 2002
|Page(s)||321 - 327|
|Published online||01 August 2002|
Non-compact local excitations in spin-glasses
Service de Physique de l'Etat Condensé,
Orme des Merisiers, CEA Saclay
91191 Gif-sur-Yvette Cedex, France
2 Laboratoire de Physique Théorique et Modèles Statistiques Bâtiment 100, Université Paris Sud - 91405 Orsay, France
Accepted: 13 February 2002
We study numerically the local low-energy excitations in the 3d Edwards-Anderson model for spin-glasses. Given the ground state, we determine the lowest-lying connected cluster of flipped spins with a fixed volume containing one given spin. These excitations are not compact, having a fractal dimension close to two, suggesting an analogy with lattice animals. Also, their energy does not grow with their size; the associated exponent is slightly negative whereas the one for compact clusters is positive. These findings call for a modification of the basic hypotheses underlying the droplet model.
PACS: 02.60.Pn – Numerical optimization / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, 2002
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