Collective modes of a superlattice - plasmons,LO phonon-plasmons,and magnetoplasmons

The wavevector-frequency dependent dielectric constant is investigated for a superlattice structure. Attention here is focused on the collective modes of the GaAs-GaAlAs superlattice with doped (or modulated doped) quantum wells. For wells widely separated in space, such that Bloch wave function overlap between wells is negligible, a Bloch-like plasmon can propagate along the superlattice direction mediated entirely by Coulomb interaction alone. Interaction of these plasmons with optical phonons and with a magnetic field is investigated.