Abstract

We calculate frequency and temperature dependence of the anomalous ac Hall conductivity induced by impurity scattering in a chiral p(x)+ip(y) 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 omega. The Hall conductivity increases linearly with the decrease in 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).

Publication Details
Publication Type
Journal Article
Year of Publication
2009
Volume
80
DOI
10.1103/PhysRevB.80.104508
Journal
Physical Review B
Contributors