Interfaces and Lower Critical Dimension in a Spin Glass Model

S. Franz; G. Parisi; M. A. Virasoro

doi:10.1051/jp1:1994213

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Interfaces and Lower Critical Dimension in a Spin Glass Model

S. Franz·G. Parisi·M. A. Virasoro

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Abstract

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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S. Franz, G. Parisi, M. A. Virasoro. 1994-05-04. Interfaces and Lower Critical Dimension in a Spin Glass Model. https://doi.org/10.1051/jp1%3A1994213

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