Dressed behavior of the quasiparticles lifetime in the unitary limit of two unconventional superconductors

TL;DR

This paper investigates how quasiparticle lifetimes in two unconventional superconductors respond to impurity scattering, revealing distinct behaviors between singlet and triplet pairing models as disorder varies.

Contribution

It introduces a comparative analysis of quasiparticle lifetime behaviors in singlet and triplet superconductors under impurity scattering, highlighting an anomalous shape change in the triplet case.

Findings

Singlet superconductors show consistent lifetime shape despite disorder changes.

Triplet superconductors exhibit an anomalous drop in lifetime shape at low disorder.

The study uses a 2D tight-binding model focusing on nodal regions in the Brillouin zone.

Abstract

We compare the quasiparticle lifetime behavior in the unitary limit of two unconventional superconductors dressed by non-magnetic impurity scattering to differentiate an anomalous functional behavior in its shape when the disorder concentration is changed in a triplet paired model with respect to the well behave singlet model. For singlet paired superconductors, the functional shape of the lifetime due to elastic scattering around the nodal regions does not change with the change of the disorder concentration, but for a triplet model with a tiny gap, an anomalous drop in shape is observed only when small values of disordering are added. We use a 2D tight-binding parametrization to study the reduced phase space of the first Brillouin zone, where the low energy scattering is restricted to the nodal/quasinodal regions for two irreducible representations of the crystal lattice.