Perturbation Theory of Spin-Triplet Superconductivity for Sr<sub><b>2</b></sub>RuO<sub><b>4</b></sub>

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  • Perturbation Theory of Spin-Triplet Superconductivity for Sr2RuO4.

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We discuss the possibility of spin-triplet superconductivity within the third order perturbation theory with respect to on-site Coulomb repulsion U. Critical temperature Tc for spin-triplet pairing state is calculated in a single-band two-dimensional Hubbard model and relatively high Tc is obtained for moderately large U. The present situation considered here is particularly intended for the main branch γ in Sr2RuO4. According to the calculation, third order vertex correction terms, which are not direct contribution from spin fluctuation, are important, while the bare susceptibility χ0(q) need not always have a prominent peak at q=0 for the spin-triplet pairing state. The picture that strong ferromagnetic spin fluctuations mainly induce the spin-triplet superconductivity in Sr2RuO4 may not be appropriate, and such momentum dependence of renormalized effective interaction between quasi-particles as is not sufficiently taken into account in spin fluctuation mediated interaction is essential for realizing the spin-triplet pairing.

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