Spin-Fluctuation-Driven Orbital Nematic Order in Ru-Oxides: Self-Consistent Vertex Correction Analysis for Two-Orbital Model

Abstract

To reveal the origin of the "nematic electronic fluid phase" in Sr${}_3$Ru${}_2$O${}_7$, we apply the self-consistent vertex correction analysis to the ($d_{xz},d_{yz}$)-orbital Hubbard model. It is found that the Aslamazov-Larkin type vertex correction causes the strong coupling between spin and orbital fluctuations, which corresponds to the Kugel-Khomskii spin-orbital coupling in the local picture. Due to this mechanism, orbital nematic order with $C_2$ symmetry is induced by the magnetic quantum criticality in multiorbital systems, while this mechanism is ignored in the random-phase-approximation. The present study naturally explains the intimate relation between the magnetic quantum criticality and the nematic state in Sr${}_3$Ru${}_2$O${}_7$ and Fe-based superconductors.

5 pages, 3 figures

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• High-Tc Superconductivity near the Anion Height Instability in Fe-based Superconductors: Analysis of LaFeAsO${}_{1-x}$H${}_x$
• Spin-triplet superconductivity in Sr2RuO4 due to orbital and spin fluctuations: Analyses by two-dimensional renormalization group theory and self-consistent vertex-correction method
• Spin Triplet Superconductivity in Sr2RuO4 due to Orbital and Spin Fluctuations: Analysis by Two-Dimensional Renormalization Group Theory
• Linear Response Theory for Shear Modulus $C_{66}$ and Raman Quadrupole Susceptibility: Significant Evidence for Orbital Nematic Fluctuations in Fe-Based Superconductors
• Orbital Nematic Instability in Two-Orbital Hubbard Model: Renormalization-Group + Constrained RPA Analysis
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• Multistage Electronic Nematic Transitions in Cuprate Superconductors: Functional-Renormalization-Group Analysis
• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• Unconventional density waves and superconductivities in Fe-based superconductors and other strongly correlated electron systems
• Soft striped magnetic fluctuations competing with superconductivity in Fe_{1+x}Te
• Study of phase diagram and superconducting states in LaFeAsO${}_{1-x}$H${}_x$ based on the multiorbital extended Hubbard model
• Effect of realistic finite-size impurities on Tc in Fe-based superconductors based on the five-orbital tight-binding model
• Plain $s$-wave superconductivity near the magnetic criticality: Enhancement of attractive electron-boson coupling vertex corrections
• Elementary Excitations due to Orbital Degrees of Freedom in Iron Based Superconductors
• Orbital Nematic Order and Interplay with Magnetism in the Two-Orbital Hubbard Model
• Non-Fermi Liquid behavior at the Orbital Ordering Quantum Critical Point in the Two-Orbital Model
• Many-body effects on the resistivity of a multiorbital system beyond Landau's Fermi-liquid theory
• Orbital Order in Two-orbital Hubbard Model