Comment on: Calculation of an Enhanced $A_{1g}$ Symmetry Mode Induced by Higgs Oscillations in the Raman Spectrum of High-Temperature Cuprate Superconductors

Abstract

In a recent manuscript Phys. Rev. Lett. 127, 197001 (2021) Puviani et al. claim that the Higgs mode gives an enhancement of the Raman response in the symmetric $A_{1g}$ Raman channel of cuprates. Here we report a series of technical mistakes in their derivation that completely invalidate this conclusion. In particular, the Raman response function contains two renormalized vertices, with a clearly overcounting of diagrams and uncontrolled results for the Higgs-mode contribution.

arXiv commentSlightly shorter version, accepted for publication in Physical Review Letters

References in corpus (5)

• Inelastic Light Scattering From Correlated Electrons
• Non-linear optical effects and third-harmonic generation in superconductors: Cooper-pairs vs Higgs mode contribution
• Signature of the Leggett mode in the A1g Raman response: from MgB2 to iron-based superconductors
• Conservation laws, vertex corrections, and screening in Raman spectroscopy
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Cited by in corpus (2)

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• Following the Higgs mode across the BCS-BEC crossover in two dimensions