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

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)].

4 pages, 2 figures, accepted for publication in Phys. Rev. B Rapid Communication

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• Polar Kerr Effect as Probe for Time-Reversal Symmetry Breaking in Unconventional Superconductors
• Evidence for broken time-reversal symmetry in the superconducting phase of URu${}_2$Si${}_2$
• Intrinsic Hall effect in a multiband chiral superconductor in the absence of an external magnetic field
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Vanishing edge currents in non-$p$-wave topological chiral superconductors
• Odd-frequency superconductivity in Sr${}_2$RuO${}_4$ measured by Kerr rotation
• Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects
• Intrinsic optical dichroism in the chiral superconducting state of Sr${}_2$RuO${}_4$
• Time reversal symmetry breaking superconductivity in topological materials
• The fate of time-reversal symmetry breaking in UTe2
• Classification of engineered topological superconductors
• The Kerr rotation in the unconventional superconductor Sr${}_2$RuO${}_4$
• Kerr effect from diffractive skew scattering in chiral $p_x\pm i{p}_y$ superconductors
• Loop currents and anomalous Hall effect from time-reversal symmetry-breaking superconductivity on the honeycomb lattice
• 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
• Anomalous Hall conductivity of clean Sr2RuO4 at finite temperatures
• Anomalous Hall effect in Weyl superconductors
• Whether there is the intrinsic Hall effect in a multi-band superconductor?
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
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• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• Recent developments in unconventional superconductivity theory
• 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${}_4$
• Necessity of Time-Reversal Symmetry Breaking for the Polar Kerr Effect in Linear Response
• Fluctuational Anomalous Hall and Nernst Effects in Superconductors
• Intrinsic and extrinsic origins of the polar Kerr effect in a chiral p-wave superconductor
• Anomalous Hall effect in single-band chiral superconductors from impurity superlattices
• Polar Kerr effect from a time-reversal symmetry breaking unidirectional charge density wave
• Impurity-doped scalar fields in arbitrary dimensions
• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
• Modern Theory for the Orbital Moment in a Superconductor
• Zero-field Hall effect in chiral p-wave superconductors near Kosterlitz-Thouless transition
• Superconducting phase transition of Sr2RuO4 in magnetic field
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• How vortex bound states affect the Hall conductivity of a chiral $p\pm ip$ superconductor
• Probing time reversal symmetry breaking topological superconductivity in twisted double layer copper oxides with polar Kerr effect
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed $s$- and $d$-wave symmetries
• Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr${}_2$RuO${}_4$