Impurity Induced Polar Kerr Effect in A Chiral p-wave Superconductor
Jun Goryo

TL;DR
This paper investigates how impurity scattering induces a polar Kerr effect in chiral p-wave superconductors, providing a theoretical explanation for experimental observations of Kerr rotation.
Contribution
It introduces a model showing impurity-induced Hall conductivity in chiral p-wave superconductors, explaining the observed Kerr effect.
Findings
Impurity scattering induces off-diagonal current correlations.
Nonzero Hall conductivity is calculated using the Kubo formula.
Estimated Kerr rotation matches experimental data.
Abstract
We discuss the polar Kerr effect (PKE) in a chiral p-wave (p_x+i p_y-wave) superconductor. It is found that the off-diagonal component of a current-current correlation function is induced by impurity scattering in the chiral p-wave condensate, and a nonzero Hall conductivity is obtained using the Kubo formula. We estimate the Kerr rotation angle by using this impurity-induced Hall conductivity and compare it with experimental results [Jing Xia et al., Phys. Rev. Lett. 97, 167002 (2006)].
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