Disorder effects on the so-called Andreev band in Majorana nanowires

TL;DR

This paper critiques a recent model of Majorana nanowires, emphasizing that its artificial periodic assumptions are unrealistic and that disorder suppresses the predicted Andreev band, making the model inapplicable to real systems.

Contribution

It clarifies that the periodic model used in prior work is artificial and demonstrates that disorder effects negate the predicted Andreev band in realistic systems.

Findings

Artificial periodicity does not occur in real systems.

Disorder suppresses the Andreev band predicted by the model.

The model's predictions are not applicable to experimental Majorana nanowires.

Abstract

We comment on a recent publication Phys. Rev. Lett. 130, 207001 (2023), pointing out that the periodic model for the superconducting gap and/or the spin splitting used by the authors is artificial and does not apply to any real systems. In addition, we show that the resulting Andreev band introduced by this artificial and unrealistic periodicity is suppressed by the potential disorder invariably present in all experimental systems. The results of this model are therefore contrived and do not apply to any experimental system.