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arXiv · 1007.3679

Interface Energy in the Edwards-Anderson model

Pierluigi Contucci·Cristian Giardina'·Claudio Giberti·Giorgio Parisi·Cecilia Vernia
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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 simulate finite temperature systems and work 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.

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Pierluigi Contucci, Cristian Giardina', Claudio Giberti, Giorgio Parisi, Cecilia Vernia. 2010-07-21. Interface Energy in the Edwards-Anderson model. https://doi.org/10.1007/s10955-010-0100-z

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