Interfaces and Lower Critical Dimension in a Spin Glass Model

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 $D_c=2.5$.

arXiv comment14 pages, LaTeX, NORDITA preprint 94/21

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