Spin-triplet superconductivity in quasi-one dimension

We consider a system with electron-phonon interaction, antiferromagnetic fl uctuations and disconnected open Fermi surfaces. The existence of odd-parit y superconductivity in this circumstance is shown for the rst time. If it i s applied to the quasi one-dimensional systems like the organic conductors (TMTSF)(2)X we obtain spin-triplet superconductivity with nodeless gap. It is possible to extend our results to a quasi two-dimensional case and to a three-dimensional case.