Electronic Raman Scattering in Superconducting Cuprates

Abstract

We show that the novel features observed in Raman experiments on optimally doped and underdoped Bi-2212 compounds in $B_{1g}$ geometry can be explained by a strong fermionic self-energy due to the interaction with spin fluctuations. We compute the Raman intensity $R(\omega)$ both above and below $T_c$, and show that in both cases $R(\omega)$ progressively deviates, with decreasing doping, from that in a Fermi-gas due to increasing contribution from the fermionic self-energy. We also show that the final state interaction increases with decreasing doping and gradually transforms the $2\Delta$ peak in the superconducting state into a pseudo resonance mode below $2\Delta$. We argue that these results agree well with the experimental data for Bi-2212.