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.

8 pages

References in corpus (5)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Gauge-invariant electromagnetic response of a chiral px+ipy superconductor
• Theory of the high-frequency chiral optical response in a p_x+ip_y superconductor
• Sr_2 Ru O_4 : Broken Time-Reversal Symmetry in the Superconducting state
• Spin-Hall effect in triplet chiral superconductors and graphene

Cited by in corpus (20)

• Chiral P-Wave Order in Sr_2RuO_4
• Is Sr2RuO4 a Chiral P-Wave Superconductor?
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Impurity Induced Polar Kerr Effect in A Chiral p-wave Superconductor
• Non-topological nature of the edge current in a chiral p-wave superconductor
• 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
• Notes on Constraints for the Observation of Polar Kerr Effect in Complex Materials
• Signatures of pairing and spin-orbit coupling in correlation functions of Fermi gases
• The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor Sr${}_2$RuO${}_4$
• BCS - BEC crossover and quantum hydrodynamics in p-wave superfluids with a symmetry of the A1 - phase
• Linear spectroscopy of collective modes and the gap structure in two-dimensional superconductors
• Prediction and description of a chiral pseudogap phase
• Locally gauge-invariant spin response of ${}^3$He-$B$ films with Majorana surface states
• Hall conductivity in the normal and superconducting phases of the Rashba system with Zeeman field
• Geometric and computational aspects of chiral topological quantum matter
• Circular-polarization-selective perfect reflection from chiral superconductors
• Probing time reversal symmetry breaking topological superconductivity in twisted double layer copper oxides with polar Kerr effect
• Viscosities and shift in a chiral superfluid: a holographic study