Interfaces and Lower Critical Dimension in a Spin Glass Model

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

doi:10.1051/jp1:1994213

paper

Interfaces and Lower Critical Dimension in a Spin Glass Model

arXiv:cond-mat/9405007 · doi:10.1051/jp1:1994213

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 $D_{c} = 2.5$ .

14 pages, LaTeX, NORDITA preprint 94/21