Renormalization Group Technique Applied to the Pairing Interaction of the Quasi-One-dimensional Superconductivity

Abstract

A mechanism of the quasi-one-dimensional (q1d) superconductivity is investigated by applying the renormalization group techniques to the pairing interaction. With the renormalized pairing interaction, the transition temperature T_c and corresponding gap function are calculated by solving the linearized gap equation. For reasonable sets of parameters, T_c of p-wave triplet pairing is higher than that of d-wave singlet pairing due to the one-dimensionality of interaction. These results can qualitatively explain the superconducting properties of q1d organic conductor (TMTSF)₂PF₆ and the ladder compound Sr₂Ca₁₂Cu₂₄O₄₁.