Odd-Frequency Pairing and the Kerr Effect in the Heavy-Fermion Superconductor UPt₃

Recent observations of the Kerr effect in the low-temperature superconducting phase of UPt₃ indicate the presence of a time-reversal symmetry-breaking complex two-component order parameter. Subsequent theoretical work has shown that in order to obtain a sizable Kerr rotation angle in UPt₃ the system must have finite inter-sublattice scattering amplitudes and the order parameter must possess an inter-sublattice non-unitary component. In this work, we demonstrate that this exact same mechanism leading to the emergence of a Kerr effect in UPt₃ also guarantees the presence of odd-frequency superconducting pairing. We characterize the different odd-frequency pairing channels allowed in this system and discuss their relationship to the appearance of the finite Kerr rotation angle.