In this paper, I present a detailed theoretical study on how a nanostructure,
such as a semiconductor-based two-dimensional electron gas (2DEG), interacts
with a linearly polarised intense laser field. A tractable method in dealing
with the time-dependent many-body problem has been developed, from which the
electron Green's function, the electron density–density correlation
function and the inverse dielectric function matrix for a 2DEG driven by
intense laser fields have been obtained. Using these results, the influence of
terahertz laser radiation on dynamical properties such as plasmon and optical
spectra in a 2DEG is investigated. The results obtained from this study can be
used for the case where the intense terahertz radiation is provided by
recently developed free-electron laser sources.
Many-body properties of a spherical two-dimensional electron gas