Homogeneous and inhomogeneous phases in a numerical model of a time-reversal-breaking superconductor

Abstract

In this manuscript, we find an inhomogeneous stripes phase in a numerical model for an unconventional superconductor with time-reversal-breaking symmetry and triplet odd pairing. We contrast a robust well known homogeneous phase with dilute disorder characterized by a unitary resonance and a tiny gap that resembles an s-wave superconductor, with a new inhomogeneous phase with extremely dilute disorder and real frequency stripes. This phase has only two ultra-small frequency collision values at the edges of the unitary resonance, indicating the displacement of the s-wave tiny gap to the outer edges of the resonance. We perform a statistical analysis of the real frequency density and encounter a lack of spectral stability, characterized by a sequence of vertical frequency stripes. Experimentalists can verify this finding by looking for an unstable phase in extremely clean samples of candidates for triplet superconductors.

15 pages, 4 figures