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Roles of Electron Correlations in the Spin-Triplet Superconductivity of Sr2RuO4

Takuji Nomura and Kosaku Yamada

Department of Physics, Kyoto University, Kyoto 606-8502

(Received March 12, 2002)

We discuss a microscopic mechanism of the spin-triplet superconductivity in the quasi-two-dimensional ruthenium oxide Sr2RuO4 on the basis of two-dimensional three-band Hubbard model. We solve the linearized Éliashberg equation by taking into account the full momentum-frequency dependence of the order parameter for the spin-triplet and the spin-singlet states, and estimate the transition temperature as a function of the Coulomb integrals. The effective pairing interaction is expanded perturbatively with respect to the Coulomb interaction at the Ru sites up to the third order. As a result, we show that the spin-triplet p-wave state is more stable than the spin-singlet d-wave state for moderately strong Coulomb interaction. Our results suggest that one of the three bands, γ, plays a dominant role in the superconducting transition, and the pairing on the other two bands (α and β) is induced passively through the inter-orbit couplings. The most significant momentum dependence for the p-wave pairing originates from the vertex correction terms, while the incommensurate antiferromagnetic spin fluctuations, which are observed in inelastic neutron scattering experiments, are expected to disturb the p-wave pairing by enhancing the d-wave pairing. Therefore we can regard the spin-triplet superconductivity in Sr2RuO4 as one of the natural results of the electron correlations, and cannot consider as a result of some strong magnetic fluctuations. We will also mention the normal Fermi liquid properties of Sr2RuO4. ©2002 The Physical Society of Japan

KEYWORDS: electron correlations, three-band Hubbard model, third order perturbation theory, vertex corrections, Sr2RuO4, spin-triplet superconductivity, superconducting transition temperature
URL: http://jpsj.ipap.jp/link?JPSJ/71/1993/
DOI: 10.1143/JPSJ.71.1993


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