Collective modes and electromagnetic response of a chiral superconductor

Abstract

Motivated by the recent controversy surrounding the Kerr effect measurements in strontium ruthenate \cite{xia:167002}, we examine the electromagnetic response of a clean chiral p-wave superconductor. When the contributions of the collective modes are accounted for, the Hall response in a clean chiral superconductor is smaller by several orders of magnitude than previous theoretical predictions and is too small to explain the experiment. We also uncover some unusual features of the collective modes of a chiral superconductor, namely, that they are not purely longitudinal and couple to external transverse fields.

arXiv comment8 pages

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Cited by in corpus (48)

• Colloquium: Topological Band Theory
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Chiral Superconductors
• Chiral P-Wave Order in Sr_2RuO_4
• Pseudogap and time reversal breaking in a holographic superconductor
• Polar Kerr Effect as Probe for Time-Reversal Symmetry Breaking in Unconventional Superconductors
• Is Sr2RuO4 a Chiral P-Wave Superconductor?
• Intrinsic Hall effect in a multiband chiral superconductor in the absence of an external magnetic field
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Effective theory of chiral two-dimensional superfluids
• Non-topological nature of the edge current in a chiral p-wave superconductor
• Impurity Induced Polar Kerr Effect in A Chiral p-wave Superconductor
• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Intrinsic optical dichroism in the chiral superconducting state of Sr${}_2$RuO${}_4$
• The Kerr rotation in the unconventional superconductor Sr${}_2$RuO${}_4$
• Probing topological superconductors with emergent gravity
• Kerr effect from diffractive skew scattering in chiral $p_x\pm i{p}_y$ superconductors
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$
• Polar Kerr effect from chiral-nematic charge order
• Chiral Higgs Mode in Nematic Superconductors
• Giant Nernst and Hall Effects in Chiral Superconductors due to Berry Phase Fluctuations
• Boundary central charge from bulk odd viscosity - chiral superfluids
• Edge current and orbital angular momentum of chiral superfluids revisited
• Notes on Constraints for the Observation of Polar Kerr Effect in Complex Materials
• Anomalous Hall conductivity of clean Sr2RuO4 at finite temperatures
• Effective theory of vortices in two-dimensional spinless chiral $p$-wave superfluids
• Anomalous electromagnetic response of superconducting Rashba systems in trivial and topological phases
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Correcting inconsistencies in the conventional superfluid path integral scheme
• Recent developments in unconventional superconductivity theory
• Signatures of pairing and spin-orbit coupling in correlation functions of Fermi gases
• Hall viscosity and conductivity of two-dimensional chiral superconductors
• Intrinsic and extrinsic origins of the polar Kerr effect in a chiral p-wave superconductor
• BCS - BEC crossover and quantum hydrodynamics in p-wave superfluids with a symmetry of the A1 - phase
• 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${}_4$
• Linear spectroscopy of collective modes and the gap structure in two-dimensional superconductors
• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
• Prediction and description of a chiral pseudogap phase
• Locally gauge-invariant spin response of ${}^3$He-$B$ films with Majorana surface states
• Superconducting phase transition of Sr2RuO4 in magnetic field
• Zero-field Hall effect in chiral p-wave superconductors near Kosterlitz-Thouless transition
• Hall conductivity in the normal and superconducting phases of the Rashba system with Zeeman field
• Geometric and computational aspects of chiral topological quantum matter
• Probing time reversal symmetry breaking topological superconductivity in twisted double layer copper oxides with polar Kerr effect
• How vortex bound states affect the Hall conductivity of a chiral $p\pm ip$ superconductor
• Circular-polarization-selective perfect reflection from chiral superconductors
• Viscosities and shift in a chiral superfluid: a holographic study