SUPERUNIVERSAL CRITICAL-BEHAVIOR IN 2-DIMENSIONAL RANDOM ANISOTROPIC MODELS WITH DISCRETE SYMMETRIES

We study the critical behavior of two-dimensional (2D) anisotropic sys tems with weak quenched disorder described by the Ising model (IM) wit h random bonds, the dilute N-color Ashkin-Teller model (ATM) and some its generalizations. It is shown that all these models exhibit the sam e critical behavior as that of the BD-IM apart from some logarithmic c orrections. The minimal conformal field theory (CFT) models with rando mness are found to be decribed by critical exponents which are numeric ally very close to those of the pure 2D-IM.