The three dimensional Heisenberg spin glass under a weak random   anisotropy
  We perform a finite size scaling study of the three-dimensional Heisenberg spin glass in the presence of weak random anisotropic interactions, up to sizes L=32. Anisotropies have a major impact on the phase transition. The chiral-glass susceptibility does not diverge, due to a large anomalous dimension. It follows that the anisotropic spin-glass belongs to a Universality Class different from the isotropic model, which questions the applicability of the chirality scenario. 
V. Martin-Mayor and S. Perez-Gaviro
cond-mat.dis-nn