Comment on Influence of induced interactions on superfluid properties of quasi-two-dimensional dilute Fermi gases with spin-orbit coupling

TL;DR

This paper critiques a 2013 study on induced interactions in quasi-two-dimensional Fermi gases with spin-orbit coupling, highlighting critical errors that challenge the original claims about the behavior of induced interactions across different SOC strengths.

Contribution

The authors identify and analyze errors in previous analytical calculations of induced interactions in Fermi gases with SOC, clarifying the inaccuracies in earlier claims.

Findings

Previous calculations contain critical errors affecting their conclusions.

The original claims about the behavior of induced interactions with SOC are invalidated.

The paper emphasizes the importance of correct analytical methods in such systems.

Abstract

In an article in 2013, Caldas et al. [Phys. Rev. A 88, 023615 (2013)] derived analytical expressions of the induced interaction within the scheme of Gorkov and Melik-Barkhudrov in quasi-two-dimensional Fermi gases with Rashba spin-orbit coupling (SOC). They claimed that the induced interaction is exactly the same as the one for the case without SOC when the SOC is weak, and in the region of strong SOC, it starts from a reduced value and then recovers the value for the zero SOC in the limit of large SOC. We point out that their calculations contain the critical errors and inconsistencies that significantly affect the basis of these claims.