Frequency-dependent Inter-pseudospin Solutions to Superconducting Strontium Ruthenate

The lasting puzzle of the superconducting order parameter of Sr\(_2\)RuO\(_4\) calls for theoretical studies that include seldom-considered effects. Here we include spin-orbit coupling effects on the electronic structure and then solve the linearized Eliashberg equation in a pseudospin basis, includ...

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Bibliographic Details
Published in:arXiv.org 2022-01
Main Authors: Gingras, Olivier, Allaglo, Nikita, Nourafkan, Reza, Côté, Michel, Tremblay, André-Marie S
Format: Article
Language:English
Subjects:
Electron spin
Electronic structure
Order parameters
Spin-orbit interactions
Strontium ruthenium oxide
Superconductivity
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Summary:The lasting puzzle of the superconducting order parameter of Sr\(_2\)RuO\(_4\) calls for theoretical studies that include seldom-considered effects. Here we include spin-orbit coupling effects on the electronic structure and then solve the linearized Eliashberg equation in a pseudospin basis, including the possibility that spin and charge fluctuations induce frequency-dependent superconducting order parameters. We find that spin-orbit coupling mixes even and odd contributions in orbital, spin and frequency spaces and that leading inter-pseudospin symmetries, B\(_{1g}^+\) and A\(_{2g}^-\), have intra-orbital components respectively even and odd in Matsubara frequency. An accidental degeneracy between these could resolve apparent experimental contradictions.
ISSN:2331-8422