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.
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Cr.G. and C.V. acknowledge GNFM-INdAM for partial financial support.
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Contucci, P., Giardinà, C., Giberti, C. et al. Interface Energy in the Edwards-Anderson Model. J Stat Phys 142, 1–10 (2011). https://doi.org/10.1007/s10955-010-0100-z
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DOI: https://doi.org/10.1007/s10955-010-0100-z