Probing spin structure of mangeto-roton with Raman scattering*

We construct a new model for Raman scattering on a fractional Quantum Hall (FQH) state. We use the Luttinger model of GaAs to construct an effective coupling of the lowest Landau level (LLL) electrons with photons. Unlike the previous argument that the light scattering spectra of Raman scattering are associated with the dynamical structure factor, our results show that the scattering signal is mainly due to the kinetic part of the stress-energy tensor correlation functions. We also propose an experimental setup to test the hypothesis on the spin structure of the magneto-roton excitations.