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We revisit the pairing symmetry competition in quasi-one-dimensional systems. We show that spin-triplet s-wave pairing, where the pair is formed by electrons with different times and has an odd-frequency symmetry, can be realized in systems with one-dimensionality when the strength of charge fluctuation exceeds that of spin fluctuation. The present study provides a mechanism for this exotic pairing proposed by Berezinskii [JETP Lett. 20, 287 (1974)].

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In order to study the pairing symmetry in non-centrosymmetric superconductors, we solve the linearized É liashberg's equation on the two-dimensional extended Hubbard model in the presence of the Rashba-type spin-orbit coupling (RSOC) within the random phase approximation. In the presence of the RSOC, three types of pairing symmetries appear in the phase diagram with respect to the on-site Coulomb repulsion U and off-site one V . Each of the pairing symmetries is an admixture of the spin-singlet and spin-triplet ones. On the basis of our analytical study, it is found that the admixture of the spin-singlet and spin-triplet components depends on not only the predominant pairing symmetry but also the dispersion relation and pairing interaction.

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