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We present a first-principles band calculation for the quasi-one-dimensional(Q1D) organic superconductor (TMTSF)$_2$ClO$_4$. An effective tight-bindingmodel with the TMTSF molecule to be regarded as the site is derived from acalculation based on maximally localized Wannier orbitals. We apply atwo-particle self-consistent (TPSC) analysis by using a four-site Hubbardmodel, which is composed of the tight-binding model and an on-site(intramolecular) repulsive interaction, which serves as a variable parameter.We assume that the pairing mechanism is mediated by the spin fluctuation, andthe sign of the superconducting gap changes between the inner and outer Fermisurfaces, which correspond to a d-wave gap function in a simplified Q1D model.With the parameters we adopt, the critical temperature for superconductivityestimated by the TPSC approach is approximately 1K which is consistent withexperiment.

physical review. b./physical review. b

Microscopic theory of a superconducting gap in the quasi-one-dimensional  organic conductor (TMTSF)$_2$ClO$_4$: Model derivation and two-particle  self-consistent analysis