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arxiv: cond-mat/9405007 · v1 · submitted 1994-05-04 · ❄️ cond-mat

Interfaces and Lower Critical Dimension in a Spin Glass Model

classification ❄️ cond-mat
keywords criticaldimensionlowerreplicaspinsymmetryadditionalalone
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In this paper we try to estimate the lower critical dimension for replica symmetry breaking in spin glasses through the calculation of the additional free-energy required to create a domain wall between two different phases. This mechanism alone would say that replica symmetry would be restored at the lower critical dimension $D_c =2.5$.

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