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In a fully-gapped superconductor the electronic Raman response has apair-breaking peak at twice the superconducting gap $\Delta$, if the Bogoliubovexcitations are uncorrelated. Motivated by the iron based superconductors, westudy how this peak is modified if the superconducting phase hosts anematic-structural quantum critical point. We show that, upon approaching thispoint by tuning, e.g., doping, the growth of nematic correlations between thequasiparticles transforms the pair-breaking peak into a nematic resonance. Themode energy is below 2$\Delta$, and stays finite at the quantum critical point,where its spectral weight is sharply enhanced. The latter is consistent withrecent experiments on electron-doped iron based superconductors and providesdirect evidence of nematic correlations in their superconducting phases.

Nematic resonance in the Raman response of iron-based superconductors