Pauli Master Equation numerical analysis of coherent and incoherent dressed fermions in triplet unconventional superconductors

Abstract

We report two types of dressed fermions in a triplet superconductor with an in-situ disorder effective field. They are obtained numerically by analyzing with the Pauli Master Equation, the self-consistent imaginary part data of the elastic-scattering cross-section. We use a two-component irreducible representation of the order parameter with quasi-point nodes and study the quasi-classical effective probabilistic density distribution as function of disorder. We find a stable coherent quantum state of dressed fermions, and slow characteristic decay time for dilute disorder. Also, we find an incoherent quantum state with diffused dressed fermions and enriched disorder with self-consistency increasing decoherence, a fast characteristic decay time, and a diffuse unitary resonance. We conclude that the most stable dressed fermion states are those in which the field has dilute disorder, the threshold zero gap, and some dressed fermions behave like an s-wave superconductor, showing a tiny gap.