Multipole-fluctuation pairing mechanism of $d_{x^2-y^2}+ig$ superconductivity in Sr${}_2$RuO${}_4$

Abstract

Despite of many experimental and theoretical efforts, the pairing symmetry of superconductivity in Sr${}_2$RuO${}_4$ remains undecided. The accidentally degenerate $d_{x^2-y^2}+ig$ is consistent with most current experiments and seems to be one of the most probable candidates, but we still lack a satisfactory theoretical mechanism for its appearance. Here we construct a phenomenological model combining realistic electronic band structures and all symmetry-allowed multipole fluctuations as potential pairing glues, and make a systematic survey of major pairing states within the Eliashberg framework. Our calculations show that $d_{x^2-y^2}+ig$ can arise naturally from the interplay of antiferromagnetic, ferromagnetic, and electric multipole fluctuations whose coexistence is manifested in previous experiments and calculations. Our work provides a physically reasonable basis supporting the possibility of $d_{x^2-y^2}+ig$ pairing in superconducting Sr${}_2$RuO${}_4$.

16 pages, 9 figures, 2 tables

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Cited by in corpus (7)

• Heat capacity double transitions in time-reversal symmetry broken superconductors
• Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling: Coexistence of Even- and Odd-Frequency Pairing and the Case of Strontium Ruthenate
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• Multiband mean-field theory of the $d+ig$ superconductivity scenario in Sr${}_2$RuO${}_4$
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• An emerging global picture of heavy fermion physics
• Nonlocal electrodynamics and the penetration depth of superconducting Sr${}_2$RuO${}_4$