Superconducting state of Sr${}_2$RuO${}_4$ in the presence of longer-range Coulomb interactions

Abstract

The symmetry of the superconducting condensate in Sr${}_2$RuO${}_4$ remains controversial after nuclear magnetic resonance (NMR) experiments recently overturned the dominant chiral $p$-wave paradigm. Several theoretical proposals have been put forward to account for existing experiments, including a $d+ig$-wave admixture, conjectured to be stabilized by longer-range Coulomb interactions. We perform a material-specific microscopic theoretical study of pairing by spin- and charge-fluctuations in Sr${}_2$RuO${}_4$, including the effects of spin-orbit coupling, and both local and longer-range Coulomb repulsion. The latter has important consequences for Sr${}_2$RuO${}_4$ due to the near-degeneracy of symmetry-distinct pairing states in this material. We find that both the $g$- and $d_{x^2-y^2}$-wave channels remain noncompetitive compared to leading nodal $s^{\prime }$, $d_{xy}$, and helical ($p$) solutions. This suggests nodal time-reversal symmetry broken $s^{\prime }+i{d}_{xy}$ or $s^{\prime }+ip$ phases, promoted by longer-range Coulomb repulsion, as the most favorable candidates for Sr${}_2$RuO${}_4$. We analyse the properties of these states, and show that the $s^{\prime }+i{d}_{xy}$ solution agrees with the bulk of available experimental data, including recent discoveries from NMR, muon spin relaxation ($\mu$SR), and ultrasound measurements.

arXiv comment4 pages, 2 figures + supplementary material

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Cited by in corpus (43)

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• 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
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Supercurrents and spontaneous time-reversal symmetry breaking by nonmagnetic disorder in unconventional superconductors
• Spontaneous time-reversal symmetry breaking by disorder in superconductors
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• Revisiting superconductivity in the extended one-band Hubbard model: pairing via spin and charge fluctuations
• Exploring the role of nonlocal Coulomb interactions in perovskite transition metal oxides
• Emergent Tetragonality in a Fundamentally Orthorhombic Material
• Crossover between electron-electron and electron-phonon mediated pairing on the Kagome lattice
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