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Based on the semiclassical model Hamiltonian of the surface plasmon polaritonand the nonequilibrium Green-function approach, we present a microscopickinetic theory to study the influence of the electron scattering on thedynamics of the surface plasmon polariton in semiconductor nanowires. Thedamping of the surface plasmon polariton originates from the resonantabsorption by the electrons (Landau damping), and the corresponding dampingexhibits size-dependent oscillations and distinct temperature dependencewithout any scattering. The scattering influences the damping by introducing abroadening and a shifting to the resonance. To demonstrate this, we investigatethe damping of the surface plasmon polariton in InAs nanowires in the presenceof the electron-impurity, electron-phonon and electron-electron Coulombscatterings. The main effect of the electron-impurity and electron-phononscatterings is to introduce a broadening, whereas the electron-electron Coulombscattering can not only cause a broadening, but also introduce a shifting tothe resonance. For InAs nanowires under investigation, the broadening due tothe electron-phonon scattering dominates. As a result, the scattering has apronounced influence on the damping of the surface plasmon polariton: Thesize-dependent oscillations are smeared out and the temperature dependence isalso suppressed in the presence of the scattering. These results demonstratethe the important role of the scattering on the surface plasmon polaritondamping in semiconductor nanowires.

Kinetic theory of surface plasmon polariton in semiconductor nanowires