On the effect of disorder in a $p$-wave flat-band superconductor

TL;DR

This paper theoretically investigates how disorder affects flat-band p-wave superconductivity with triplet pairing, revealing that such superconductivity is more robust against disorder than conventional cases, with implications for material design.

Contribution

It provides a first-order Born approximation analysis of disorder effects on flat-band p-wave superconductors, deriving a critical-temperature suppression formula and highlighting their enhanced robustness.

Findings

Superconducting gap and T_c depend linearly on interaction strength in the clean limit.

Disorder suppresses T_c, but p-wave flat-band superconductivity remains more robust than conventional cases.

Derived a formula for critical-temperature suppression due to disorder.

Abstract

We present a theoretical study of flat-band superconductivity for fully spin-polarized triplet pairing with $p$-wave symmetry. We consider the effect of disorder and calculate the disorder-averaged Green's functions diagrammatically in first-order Born approximation. In the clean limit, we find that, similarly to the case of $s$-wave pairing in a flat-band, both the gap and the critical temperature depend linearly on the attractive interaction strength. We derive the critical-temperature suppression formula for the flat-band case and find that $p$-wave flat-band superconductivity is more robust than the standard case of a band with finite density of states, particularly in more disordered samples.