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Interface Energy in the Edwards-Anderson Model
Authors:Pierluigi?Contucci  Cristian?Giardinà  Claudio?GibertiEmail author  Giorgio?Parisi  Cecilia?Vernia
Affiliation:(1) Service de Physique Théorique, CE Saclay, 91191 Gif-sur-Yvette, France;(2) Laboratoire de Physique Théorique, École Normale Supérieure, 24 rue Lhomond 75231, Paris Cedex 05, France;
Abstract:We numerically investigate the spin glass energy interface problem in three dimensions. We analyze the energy cost of changing the overlap from −1 to +1 at one boundary of two coupled systems (in the other boundary the overlap is kept fixed to +1). We implement a parallel tempering algorithm that simulates finite temperature systems and works with both cubic lattices and parallelepiped with fixed aspect ratio. We find results consistent with a lower critical dimension D c =2.5. The results show a good agreement with the mean field theory predictions.
Keywords:
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