Spin-Orbit Coupling and Symmetry of the Order Parameter in Strontium Ruthenate

Abstract

Determination of the orbital symmetry of a state in spin triplet Sr${}_2$RuO${}_4$ superconductor is a challenge of considerable importance. Most of the experiments show that the chiral state of the $\hat{z}(k_x\pm i{k}_y)$ type is realized and remains stable on lowering the temperature. Here we have studied the stability of various superconducting states of Sr${}_2$RuO${}_4$ in the presence of spin-orbit coupling. Numerically we found that the chiral state is never the minimum energy. Alone among the five states studied it has $<\hat{\mathbf{L}}.\hat{\mathbf{S}}>=0$ and is therefore not affected to linear order in the coupling parameter $\lambda$. We found that stability of the chiral state requires spin dependent pairing interactions. This imposes strong constraint on the pairing mechanism.

4 pages, 4 figures

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• Microscopic Identification of the D-vector in Triplet Superconductor Sr_2RuO_4
• Anisotropy of the incommensurate fluctuations in Sr2RuO4: a study with polarized neutrons
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• Gap Nodes and Time Reversal Symmetry Breaking in Strontium Ruthenate
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• Superconducting state of Sr${}_2$RuO${}_4$ in the presence of longer-range Coulomb interactions
• Intrinsic optical dichroism in the chiral superconducting state of Sr${}_2$RuO${}_4$
• Spin-Orbital Order Modified by Orbital Dilution in Transition Metal Oxides: From Spin Defects to Frustrated Spins Polarizing Host Orbitals
• Spin-orbit coupling and spin-triplet pairing symmetry in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Anisotropic spin fluctuations in Sr${}_2$RuO${}_4$: role of spin-orbit coupling and induced strain
• Higher angular momentum pairings in interorbital shadowed-triplet superconductors: Application to Sr${}_2$RuO${}_4$
• Gap Anisotropy in Multiband Superconductors Based on Multiple Scattering Theory
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• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Possibility of mixed helical p-wave pairings in Sr${}_2$RuO${}_4$
• Orbital Dependence of Quasiparticle Lifetimes in Sr2RuO4
• The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr${}_2$RuO${}_4$
• Magnetic field induced rotation of the d-vector in Sr_2RuO_4
• Cooper Pairing in A Doped 2D Antiferromagnet with Spin-Orbit Coupling
• Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4
• Anomalous anisotropic behaviour of spin-triplet proximity effect in Au/SrRuO${}_3$/Sr${}_2$RuO${}_4$ junctions