The Kerr rotation in the unconventional superconductor Sr${}_2$RuO${}_4$

Abstract

The interpretation of Kerr rotation measurements in the superconducting phase of Sr${}_2$RuO${}_4$ is a controversial topic. Both intrinsic and extrinsic mechanisms have been proposed, and it has been argued that the intrinsic response vanishes by symmetry. We focus on the intrinsic contribution and clarify several conflicting results in the literature. On the basis of symmetry considerations and detailed calculations we show that the intrinsic Kerr signal is not forbidden in a general multi- band system but has a rich structure in the near infrared regime. We distinguish different optical transitions determined by the superconducting gap (far infrared) and the inter orbital coupling of the normal state (near infrared). We argue that the low frequency transitions do not contribute to the Hall conductivity while only the inter-orbital transitions in the near infrared regime contribute. Finally, we discuss the difficulties to connect the calculations for the optical Hall conductivity to the experimental measurement of the Kerr angle. We will compare different approximations which might lead to conflicting results.

9 pages, 8 figures, 1 table

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• Interplay between magnetism and superconductivity in UTe2
• Odd-frequency pairing and Kerr effect in the heavy-fermion superconductor UPt${}_3$
• Ferromagnetism in UGe2 : A microscopic model
• Kerr effect from diffractive skew scattering in chiral $p_x\pm i{p}_y$ superconductors
• Quantum-geometry-induced anapole superconductivity
• Loop currents and anomalous Hall effect from time-reversal symmetry-breaking superconductivity on the honeycomb lattice
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• Origin of the anomalous Hall effect in two-band chiral superconductors
• Multiorbital and hybridization effects in the quasiparticle interference of triplet superconductor Sr2RuO4
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• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr${}_2$RuO${}_4$
• Fluctuational Anomalous Hall and Nernst Effects in Superconductors
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• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
• Modern Theory for the Orbital Moment in a Superconductor
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• Superconducting phase transition of Sr2RuO4 in magnetic field
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• How vortex bound states affect the Hall conductivity of a chiral $p\pm ip$ superconductor
• Distinguishing $d_{xz}+i{d}_{yz}$ and $d_{x^2-y^2}$ pairing in $S{r}_{2}Ru{O}_4$ by high magnetic field H-T phase diagrams
• DC-current induced domain wall in a chiral $p$-wave superconductor
• Pairing-induced Momentum-space Magnetism and Its Implication In Optical Anomalous Hall Effect In Chiral Superconductors
• Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr${}_2$RuO${}_4$