Interfaces and Lower Critical Dimension in a Spin Glass Model
  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 $D_c =2.5$. 
S. Franz, G. Parisi, M.A. Virasoro