Kerr effect from diffractive skew scattering in chiral $p_x\pm i{p}_y$ superconductors

Abstract

We calculate the temperature dependent anomalous ac Hall conductance ${\sigma }_H(\Omega ,T)$ for a two-dimensional chiral p-wave superconductor. This quantity determines the polar Kerr effect, as it was observed in Sr${}_2$RuO${}_4$ [J. Xia $et$ $al.$, Phys. Rev. Lett. 97, 167002 (2006)]. We concentrate on a single band model with arbitrary isotropic dispersion relation subjected to rare, weak impurities treated in the Born approximation. As we explicitly show by detailed computation, previously omitted contributions to extrinsic part of an anomalous Hall response, physically originating from diffractive skew scattering on quantum impurity complexes, appear to the leading order in impurity concentration. By direct comparison with published results from the literature we demonstrate the relevance of our findings for the interpretation of the Kerr effect measurements in superconductors.

5 pages, 2 figures; Supplementary material included

References in corpus (14)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Semiclassical theories of the anomalous Hall effect
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Observation of half-height magnetization steps in Sr2RuO4
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Evidence for broken time-reversal symmetry in the superconducting phase of URu${}_2$Si${}_2$
• Collective modes and electromagnetic response of a chiral 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
• Theory of the high-frequency chiral optical response in a p_x+ip_y superconductor
• Polar Kerr effect from chiral-nematic charge order
• Sr_2 Ru O_4 : Broken Time-Reversal Symmetry in the Superconducting state
• Electromagnetic response of unconventional superconductors

Cited by in corpus (12)

• Sensitivity of anomalous Hall effect to disorder correlations
• 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
• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• Quantum-geometry-induced anomalous Hall effect in nonunitary superconductors and application to Sr${}_2$RuO${}_4$
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Incommensurate chirality density wave transition in a hybrid molecular framework
• Anomalous Hall effect in type-I Weyl metals beyond the noncrossing approximation
• Symmetry properties of superconducting order parameter in Sr${}_2$RuO${}_4$
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr${}_2$RuO${}_4$
• Universal classes of disorder scatterings in in-plane anomalous Hall effect