Reply to the Comment on "Surface Pair-Density-Wave Superconducting and Superfluid States"

TL;DR

This paper confirms through a fully microscopic approach that surface pair-density-wave superconductivity can exist with a higher critical temperature than the bulk FFLO state, countering previous semi-microscopic claims.

Contribution

It provides a fully microscopic demonstration of surface pair-density-wave superconductivity, clarifying the limitations of semi-microscopic approaches.

Findings

Microscopic approach confirms surface PDW superconductivity.

Surface PDW can have higher critical temperature than bulk FFLO.

Counteracts previous semi-microscopic claims.

Abstract

The recent Comment by Vorontsov [arXiv:2007.13696] claims that surface pair-density-wave superconductivity with critical temperature higher than the bulk FFLO critical temperature is not supported by microscopic theory. The conclusion is reached by using an approximate semi-microscopic quasiclassical approach. Here we show that a fully microscopic approach unambiguously demonstrates the existence of surface pair-density-wave superconductivity.