Luttinger-liquid features in the resonant Raman spectra of quantum wires

Using the bosonization technique, we develop a theory for the Raman scatter ing of the interacting electrons in quantum wires. The energy spectra of th e collective excitations in a two-subband model are given. The density corr elation functions for the Raman cross section are calculated. The charge an d spin density excitations observed in recent Raman experiments are identif ied. Hitherto unexplained "single particle excitations" which appear near r esonance and are independent of the relative polarization of incoming and s cattered light are shown to originate in higher order spin density excitati ons, which can be evaluated due to the bosonization. For the intraband exci tations, the peak strengths in the Raman cross section as a function of the frequency of the incoming light is explicitly calculated. Power law behavi ors depending on the strength of the interaction are predicted.