Comment on "Surface Pair-Density-Wave Superconducting and Superfluid States"
Anton B. Vorontsov

TL;DR
This paper critiques a previous claim that surface pair-density-wave superconductivity is more stable than in the bulk, arguing that microscopic theory does not support this assertion.
Contribution
It provides a theoretical critique showing that the earlier claim about surface PDW stability lacks support from microscopic calculations.
Findings
Microscopic theory does not support surface PDW stability claim
Challenges previous experimental interpretations
Clarifies the conditions for PDW stability
Abstract
The claim in Barkman et al [Physical Review Letters {\bf 122}, 165302 (2019)] that pair-density wave (PDW) superconductivity in magnetic field is more stable near surface than in bulk, is not supported by microscopic theory.
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