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We present a detailed analysis of resonant inelastic scattering (RIXS) fromFe$_{1.087}$Te with unprecedented energy resolution. In contrast to the sharppeaks typically seen in insulating systems at the transition metal $L_3$ edge,we observe spectra which show different characteristic features. For low energytransfer, we experimentally observe theoretically predicted many-body effectsof resonant Raman scattering from a non-interacting gas of fermions.Furthermore, we find that limitations to this many-body electron-only theoryare realized at high Raman shift, where an exponential lineshape reveals anenergy scale not present in these considerations. This regime, identified asemission, requires considerations of lattice degrees of freedom to understandthe lineshape. We argue that both observations are intrinsic general featuresof many-body physics of metals.

Evidence for core-hole-mediated inelastic x-ray scattering from metallic Fe$_{1.087}$Te