Interplay of randomness, electron correlation, and dimensionality effects in quasi-one-dimensional conductors

We study the interplay of randomness, electron correlation, and dimensional ity effects in weakly coupled half-filled Hubbard chains with weak quenched random potentials, based on the renormalization-group (RG) approach. We pe rform a two-loop RG analysis of an effective action derived by using the re plica trick, and examine the following crossovers and phase transitions fro m an incoherent metal regime: (I) a crossover to the Anderson localization regime, (2) an antiferromagnetic phase transition, and (3) a crossover to t he quasi-one-dimensional weak-localization regime. The case of d=1+epsilon (epsilon much less than1) dimensions is also mentioned.