Theory of Raman response in a superconductor with extended s-wave symmetry: Application to Fe-pnictides

We argue that Raman study of Fe-pnictides is a way to unambiguously distinguish between various superconducting gaps proposed for these materials. We show that $A_{1g}$ Raman intensity has a true resonance peak below $2Delta$ for extended s-wave superconducting gap, $Delta(mathbf{k}) = Delta (cos k_x + cos k_y)/2$ in the folded Brillouin zone. No such peak emerges for a pure s-wave gap, a d-wave gap, and another extended s-wave gap with $Delta(mathbf{k}) = Delta cos{frac{k_x}{2}} cos{frac{k_y}{2}}$ proposed by several groups.