Bosonization Theory of the Resonant Raman Spectra of Quantum Wires

Abstract

We develop a Bosonization theory for the differential cross section for resonant Raman scattering on interacting electrons in quantum wires. The charge and spin density excitations, observed in recent Raman experiments, are identified. Near resonance, the hitherto unexplained “single particle excitations” are shown to originate in higher order collective spin excitations that are dressed with charge modes. A new selection rule for the inter-subband “single particle excitations” is predicted. Non-analytic power-law dependencies on photon energy and/or temperature of the intensities of the peaks in the resonant Raman spectra are derived which reflect the strength of the electron interaction.