### Abstract

We study the mechanism of the triplet superconductivity (TSC) in Sr2RuO4 based on the multiorbital Hubbard model. The electronic states are studied using the recently developed renormalization group method combined with the constrained random-phase approximation, called the RG + cRPA method. Thanks to the vertex correction (VC) for the susceptibility, which is dropped in the mean-field-level approximations, strong orbital and spin fluctuations at Q≈(2π/3,2π/3) emerge in the quasi-one-dimensional Fermi surfaces (FSs) composed of dxz+dyz orbitals. Due to the cooperation of both fluctuations, we obtain the triplet superconductivity in the Eu representation, in which the superconducting gap is given by the linear combination of (Δx(k),Δy(k))∼(sin3kx,sin3ky). Very similar results are obtained by applying the diagrammatic calculation called the self-consistent VC method. Thus, the idea of "orbital + spin fluctuation mediated TSC" is confirmed by both the RG + cRPA method and the self-consistent VC method. We also revealed that the large superconducting gap on the dxy-orbital Fermi surface is induced from gaps on the quasi-one-dimensional FSs, in consequence of the large orbital mixture due to the 4d spin-orbit interaction.

Original language | English |
---|---|

Article number | 155103 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 91 |

Issue number | 15 |

DOIs | |

Publication status | Published - Apr 6 2015 |

### Fingerprint

### ASJC Scopus subject areas

- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*91*(15), [155103]. https://doi.org/10.1103/PhysRevB.91.155103

**Spin-triplet superconductivity in Sr2 RuO4 due to orbital and spin fluctuations : Analyses by two-dimensional renormalization group theory and self-consistent vertex-correction method.** / Tsuchiizu, Masahisa; Yamakawa, Youichi; Onari, Seiichiro; Ohno, Yusuke; Kontani, Hiroshi.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 91, no. 15, 155103. https://doi.org/10.1103/PhysRevB.91.155103

}

TY - JOUR

T1 - Spin-triplet superconductivity in Sr2 RuO4 due to orbital and spin fluctuations

T2 - Analyses by two-dimensional renormalization group theory and self-consistent vertex-correction method

AU - Tsuchiizu, Masahisa

AU - Yamakawa, Youichi

AU - Onari, Seiichiro

AU - Ohno, Yusuke

AU - Kontani, Hiroshi

PY - 2015/4/6

Y1 - 2015/4/6

N2 - We study the mechanism of the triplet superconductivity (TSC) in Sr2RuO4 based on the multiorbital Hubbard model. The electronic states are studied using the recently developed renormalization group method combined with the constrained random-phase approximation, called the RG + cRPA method. Thanks to the vertex correction (VC) for the susceptibility, which is dropped in the mean-field-level approximations, strong orbital and spin fluctuations at Q≈(2π/3,2π/3) emerge in the quasi-one-dimensional Fermi surfaces (FSs) composed of dxz+dyz orbitals. Due to the cooperation of both fluctuations, we obtain the triplet superconductivity in the Eu representation, in which the superconducting gap is given by the linear combination of (Δx(k),Δy(k))∼(sin3kx,sin3ky). Very similar results are obtained by applying the diagrammatic calculation called the self-consistent VC method. Thus, the idea of "orbital + spin fluctuation mediated TSC" is confirmed by both the RG + cRPA method and the self-consistent VC method. We also revealed that the large superconducting gap on the dxy-orbital Fermi surface is induced from gaps on the quasi-one-dimensional FSs, in consequence of the large orbital mixture due to the 4d spin-orbit interaction.

AB - We study the mechanism of the triplet superconductivity (TSC) in Sr2RuO4 based on the multiorbital Hubbard model. The electronic states are studied using the recently developed renormalization group method combined with the constrained random-phase approximation, called the RG + cRPA method. Thanks to the vertex correction (VC) for the susceptibility, which is dropped in the mean-field-level approximations, strong orbital and spin fluctuations at Q≈(2π/3,2π/3) emerge in the quasi-one-dimensional Fermi surfaces (FSs) composed of dxz+dyz orbitals. Due to the cooperation of both fluctuations, we obtain the triplet superconductivity in the Eu representation, in which the superconducting gap is given by the linear combination of (Δx(k),Δy(k))∼(sin3kx,sin3ky). Very similar results are obtained by applying the diagrammatic calculation called the self-consistent VC method. Thus, the idea of "orbital + spin fluctuation mediated TSC" is confirmed by both the RG + cRPA method and the self-consistent VC method. We also revealed that the large superconducting gap on the dxy-orbital Fermi surface is induced from gaps on the quasi-one-dimensional FSs, in consequence of the large orbital mixture due to the 4d spin-orbit interaction.

UR - http://www.scopus.com/inward/record.url?scp=84928907997&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84928907997&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.91.155103

DO - 10.1103/PhysRevB.91.155103

M3 - Article

AN - SCOPUS:84928907997

VL - 91

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 15

M1 - 155103

ER -