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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Cited by in corpus (1)

• Non-Fermi Liquid behavior at the Orbital Ordering Quantum Critical Point in the Two-Orbital Model