Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities

Abstract

We calculate frequency and temperature dependence of the anomalous ac Hall conductivity induced by impurity scattering in a chiral px+ipy superconductor, such as Sr2RuO4, with spontaneous time-reversal-symmetry breaking in the absence of an external magnetic field. We consider two models of disorder, Gaussian and non-Gaussian, characterized by the second and third moments of the random impurity potential, respectively. Within both models, we find that the anomalous Hall conductivity has a finite real value at zero frequency, exhibits singularities at the threshold of photon absorption across the superconducting gap, and decays as some power of the high frequency Ω. The Hall conductivity increases linearly with the decrease of temperature below the superconducting transition and saturates at zero temperature. Using our results for the high-frequency Hall conductivity, we estimate the polar Kerr angle for light reflection from the material and compare it with the experimental measurements in Sr2RuO4 by Xia et al., Phys. Rev. Lett. 97, 167002 (2006).

22 pages, 12 figures;

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Cited by in corpus (19)

• Chiral P-Wave Order in Sr_2RuO_4
• 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${}_2$
• Tunneling of anyonic Majorana excitations in topological superconductors
• 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
• Spontaneous time-reversal symmetry breaking by disorder in superconductors
• Origin of the anomalous Hall effect in two-band chiral superconductors
• Notes on Constraints for the Observation of Polar Kerr Effect in Complex Materials
• Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid
• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• 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${}_4$
• Polar Kerr effect from a time-reversal symmetry breaking unidirectional charge density wave
• Symmetry properties of superconducting order parameter in Sr${}_2$RuO${}_4$
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Probing time reversal symmetry breaking topological superconductivity in twisted double layer copper oxides with polar Kerr effect
• Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr${}_2$RuO${}_4$