Symmetry-mixed bound-state order: extended degeneracy of $(d+ig)$-superconductivity in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$

Abstract

We report a fluctuation-driven state of matter that develops near an accidental degeneracy point of two symmetry-distinct primary phases. Due to symmetry mixing, this bound-state order exhibits unique signatures, incompatible with either parent phase. Within a field-theoretical formalism, we derive the generic phase diagram for system with bound-state order, study its response to strain, and evaluate analytic expressions for a specific model. Our results support the $(d+ig)$-superconducting state as a candidate for ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$: Most noticeably, the derived strain-dependence is in excellent agreement with recent experiments [Hicks \textit{et al.} Science (2014) and Grinenko \textit{et al.} arXiv (2020)]. The evolution above a non-vanishing strain from a joint onset of superconductivity and time-reversal symmetry-breaking to two split phase transitions provides a testable prediction for this scenario.

arXiv comment7 pages, 4 figures, supplementary material (2 pages)

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• Inhomogeneous time-reversal symmetry breaking in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• A microscopic Ginzburg--Landau theory and singlet ordering in Sr${}_2$RuO${}_4$
• Higher angular momentum pairing states in Sr${}_2$RuO${}_4$ in the presence of longer-range interactions
• Impurity induced double transitions for accidentally degenerate unconventional pairing states
• Possible two-component spin-singlet pairings in Sr2RuO4
• Local condensation of charge-$4e$ superconductivity at a nematic domain wall
• The role of electromagnetic gauge-field fluctuations in the selection between chiral and nematic superconductivity