Effect of 1D correlations on the phase transition in quasi-1D metallic systems

1D–3D crossover is investigated in the Gorkov-Dzyaloshinskii model of weakly coupled metallic chains using the multiplicative renormalization group method. A two-step scaling procedure is carried out using different approximations in the 1D and 3D regions with matching at the crossover temperature defined here. In those cases when the 1D charge density wave (CDW) susceptibility diverges as T → 0, CDW-type phase transition is found to occur in the 3D system. The critical temperature of the transition is calculated.