Interface Energy in the Edwards-Anderson model

Details Interface Energy in the Edwards-Anderson model Interface Energy in the Edwards-Anderson model

2010-07-21

arxiv.org/abs/1007.3679v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages; 7 figures; corrected typos; to appear in JSP

Scientific paper

10.1007/s10955-010-0100-z

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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