Recent ac susceptibility and polar Kerr effect measurements in the skutterudite superconductor ${\mathrm{PrOs}}_4{\mathrm{Sb}}_{12}$ (POS) (E. M. Levenson-Falk, E. R. Schemm, M. B. Maple, and A. Kapitulnik, arXiv:1609.07535) uncovered the nature of the superconducting double transition from a high-temperature, high-field, time-reversal symmetric phase (or the A phase) to a low-temperature, low-field, time-reversal symmetry-broken phase (or the B phase). Starting from a microscopic model, we derive a Ginzburg-Landau expansion relevant to POS that describes this entrance into the time-reversal symmetry-broken phase along the temperature axis. We also provide a study of the low-energy inelastic (Raman) response in both the A and B phases of POS, and seek additional signatures which could help reveal the exact form of the gap functions previously proposed in these phases. By appropriately manipulating the incoming and scattered light geometries, along with additional subtraction procedures and suitable assumptions, we show that one can access the various irreducible representations contained in the point group describing POS. We demonstrate how to use this technique on example order parameters proposed in POS. Depending on whether there exist nodes along the $c$ axis, we find additional low-energy spectral weight within the superconducting gap in the $E_g$ geometry, a feature that could pinpoint the location of nodes on the Fermi surface.

• Received 20 March 2017
• Revised 11 July 2017

DOI:https://doi.org/10.1103/PhysRevB.96.054508