1D and 2D STLS dielectric functions for carriers in the lowest subband

When electrons or holes in 1D (quantum wires) and 2D (quantum layers) systems are confined in the lowest subband by transverse harmonic potentials, it is possible to find useful analytical expression for some important physical properties, such as the ID and 2D effective interparticle Coulomb potentials, their Fourier transforms and their STLS dielectric functions with the corresponding collective plasma modes. Finite thickness effects of the confinement potentials can be easily identified and expanded in all formulae for carriers in the lowest subband. Finite thickness effects are much more pronounced in 1D than in 2D. We also calculate broadening effects with the Mermin correction of STLS. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.