Superconductivity and Density Wave in the Quasi-One-dimensional Systems: Renormalization Group Study

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The anisotropic superconductivity and the density wave in the quasi-one-dimensional (q1d) system have been studied for a model with interactions of both the backward (g1) and the forward (g2) scatterings. By using the one-loop approximation in the Kadanoff–Wilson renormalization group method, it is found that the dependence of response functions on the temperature (T) is proportional to exp(1⁄T). The phase diagram for the q1d system is obtained on the g2–g1 plane, where the noticeable change compared with the purely one-dimensional one appears in the superconducting state. The large charge fluctuation, which is induced by next-nearest neighbor interactions (V2), suppresses the dx2−y2-wave singlet superconducting (dSS) state but enhances the f-wave triplet superconducting (fTS) state. The field-induced f-wave triplet pairing could be expected for large V2 since the transition temperature of fTS becomes comparable to that of dSS. These features are discussed to comprehend the experiments on the (TMTSF)2PF6 salt.

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