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

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

2009-05-24

arxiv.org/abs/0905.3918v3

PRB 80, 104508 (2009)

Physics

Condensed Matter

Superconductivity

22 pages, 12 figures;

Scientific paper

10.1103/PhysRevB.80.104508

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 \Omega. 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).

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