Coherence Effects of Caroli-de Gennes-Matricon Modes in a Nodal Topological Superconductor UPt3

Abstract

Coherence effects by the impurity scattering of Caroli-de Gennes-Matricon (CdGM) modes in a vortex for the E1u planar state and the E1u chiral state which are possible superconducting states in UPt3 have been studied. First, we analytically derived the eigenvalue and eigenfunction of the CdGM modes under magnetic fields producing a vortex without impurities. Then, we studied impurity effects on the CdGM modes by introducing the impurity self-energy, which are dominated by the coherence factor depending on the eigenfunction of the CdGM modes. The difference of the impurity effects for the E1u planar and E1u chiral states owing to the magnetic field is possibly utilized to identify the gap function in UPt3.