Interfaces and Lower Critical Dimension in a Spin Glass Model

Details Interfaces and Lower Critical Dimension in a Spin Glass Model Interfaces and Lower Critical Dimension in a Spin Glass Model

1994-05-04

arxiv.org/abs/cond-mat/9405007v1

Physics

Condensed Matter

14 pages, LaTeX, NORDITA preprint 94/21

Scientific paper

10.1051/jp1:1994213

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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