Intrinsic optical dichroism in the chiral superconducting state of Sr${}_2$RuO${}_4$

Abstract

We present an analysis of the Hall conductivity ${\sigma }_{xy}(\omega ,T)$ in time reversal symmetry breaking states of exotic superconductors. We find that the dichroic signal is non-zero in systems with inter-band order parameters. This new intrinsic mechanism may explain the Kerr effect observed in strontium ruthenate and possibly other superconductors. We predict coherence factor effects in the temperature dependence of the imaginary part of the ac Hall conductivity $Im{\sigma }_{xy}(\omega ,T)$, which can be tested experimentally.

4+ pages, 4 figures, published version

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• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Odd-frequency superconductivity in Sr${}_2$RuO${}_4$ measured by Kerr rotation
• Interplay between magnetism and superconductivity in UTe2
• The Kerr rotation in the unconventional superconductor Sr${}_2$RuO${}_4$
• Odd-frequency pairing and Kerr effect in the heavy-fermion superconductor UPt${}_3$
• Charge and spin collective modes in a quasi-1D model of Sr2RuO4
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Ferromagnetism in UGe2 : A microscopic model
• Kerr effect from diffractive skew scattering in chiral $p_x\pm i{p}_y$ superconductors
• Exotic Cooper pairing in multi-orbital models of Sr${}_2$RuO${}_4$
• Even-parity spin-triplet pairing for orbitally degenerate correlated electrons by purely repulsive interactions
• Quantum-geometry-induced anapole superconductivity
• Loop currents and anomalous Hall effect from time-reversal symmetry-breaking superconductivity on the honeycomb lattice
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$
• Origin of the anomalous Hall effect in two-band chiral superconductors
• Vortex Structures in Model p-Wave Superconducting Sr2RuO4 -- Single 2-Dimensional Band v.s. Quasi-1-Dimensional Band
• Anomalous Hall conductivity of clean Sr2RuO4 at finite temperatures
• Whether there is the intrinsic Hall effect in a multi-band superconductor?
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• Possibility of mixed helical p-wave pairings in Sr${}_2$RuO${}_4$
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Quantum-geometry-induced anomalous Hall effect in nonunitary superconductors and application to Sr${}_2$RuO${}_4$
• Anomalous Hall effect in single-band chiral superconductors from impurity superlattices
• The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr${}_2$RuO${}_4$
• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
• Modern Theory for the Orbital Moment in a Superconductor
• Zero-field Hall effect in chiral p-wave superconductors near Kosterlitz-Thouless transition
• Superconducting phase transition of Sr2RuO4 in magnetic field
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Charge transport in chiral solids as a possible tool in search of dark matter signals
• 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${}_4$