Anomalous Hall conductivity of clean Sr2RuO4 at finite temperatures

Abstract

Building on previous work, we calculate the temperature- and frequency-dependent {\it anomalous} Hall conductivity for the putative multiband chiral superconductor $\Sr$ using a simple microscopic two-orbital model without impurities. A Hall effect arises in this system without the application of an external magnetic field due to the time-reversal-symmetry breaking chiral superconducting state. The anomalous Hall conductivity is nonzero only when there is more than one superconducting order parameter, involving inter- as well as intra-band Cooper pairing. We find that such a multiband superconducting state gives rise to a distinctive resonance in the frequency-dependence of the Hall conductivity at a frequency close to the inter-orbital hopping energy scale that describes hopping between Ru $d_{xz}$ and $d_{yz}$ orbitals. The detection of this feature, robust to temperature and impurity effects in the superconducting phase, would thus constitute compelling evidence in favour of a multiband origin of superconductivity in $\Sr$, with strong superconductivity on the $\alpha$ and $\beta$ bands. The temperature dependence of the Hall conductivity and Kerr rotation angle are studied within this model at the one-loop approximation.

14 pages, 8 figures. Invited submission, proceedings of M2S 2012. Published version

References in corpus (13)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
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• Intrinsic optical dichroism in the chiral superconducting state of Sr${}_2$RuO${}_4$
• Charge and spin collective modes in a quasi-1D model of Sr2RuO4
• Whether there is the intrinsic Hall effect in a multi-band superconductor?

Cited by in corpus (13)

• Chiral Superconductors
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Odd-frequency superconductivity in Sr${}_2$RuO${}_4$ measured by Kerr rotation
• 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
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$
• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• Effects of deep superconducting gap minima and disorder on residual thermal transport in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
• Hall conductivity in the normal and superconducting phases of the Rashba system with Zeeman field
• Superconducting phase transition of Sr2RuO4 in magnetic field
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr${}_2$RuO${}_4$