Neste trabalho usamos a teoria de Thomas-Fermi para estudar as propriedades eletrônicas de semicondutores planarmente dopados, ou delta-dopados, com densidade de dopantes de moderada a alta. O principal objetivo do trabalho é a verificação de que esta teoria apresenta muito bons resultados com os do método auto-consistente na aproximação de Hartree quando aplicada a este tipo de problema. Verificamos que muitas situações físicas relacionadas a semicondutores delta-dopados podem ser descritas de uma maneira simples e com muito bons resultados. Estudamos o problema de um poço isolado e o problema da super-rede, comparando os resultados de Thomas-Fermi e Hartree. / In this work we have used the Thomas-Fermi theory to study the electronic properties of planar doped semiconductors, or delta-doping, with a moderate to high density of dopants. The main aim of this work is to verify that this theory gives very good results when compared with the self-consistent method in the Hartree aproximation. We have checked that many physical situations related to delta-doping can be described in a simple manner and also with very good results. We have studied the single delta problem and the superlattice problem and we have compared the Thomas-Fermi´s and Hartree´s results.

Neste trabalho usamos a teoria de Thomas-Fermi para estudar as propriedades eletrônicas de semicondutores planarmente dopados, ou delta-dopados, com densidade de dopantes de moderada a alta. O principal objetivo do trabalho é a verificação de que esta teoria apresenta muito bons resultados com os do método auto-consistente na aproximação de Hartree quando aplicada a este tipo de problema. Verificamos que muitas situações físicas relacionadas a semicondutores delta-dopados podem ser descritas de uma maneira simples e com muito bons resultados. Estudamos o problema de um poço isolado e o problema da super-rede, comparando os resultados de Thomas-Fermi e Hartree. / In this work we have used the Thomas-Fermi theory to study the electronic properties of planar doped semiconductors, or delta-doping, with a moderate to high density of dopants. The main aim of this work is to verify that this theory gives very good results when compared with the self-consistent method in the Hartree aproximation. We have checked that many physical situations related to delta-doping can be described in a simple manner and also with very good results. We have studied the single delta problem and the superlattice problem and we have compared the Thomas-Fermi´s and Hartree´s results.

Monte Carlo method for the simulation of hole dynamics in degenerate valence subbands of cubic semiconductors is developed. All possible intra- and inter-subband scattering rates are theoretically calculated for Ge, Si, and GaAs. A far-infrared laser concept based on intersubband transitions of holes in p-type periodically delta-doped semiconductor films is studied using numerical Monte-Carlo simulation of hot hole dynamics. The considered device consists of monocrystalline pure Ge layers periodically interleaved with delta-doped layers and operates with vertical or in-plane hole transport in the presence of a perpendicular in-plane magnetic field. Inversion population on intersubband transitions arises due to light hole accumulation in E B fields, as in the bulk p-Ge laser. However, the considered structure achieves spatial separation of hole accumulation regions from the doped layers, which reduces ionized-impurity and carrier-carrier scattering for the majority of light holes. This allows remarkable increase of the gain in comparison with bulk p-Ge lasers. Population inversion and gain sufficient for laser operation are expected up to 77 K. Test structures grown by chemical vapor deposition demonstrate feasibility of producing the device with sufficient active thickness to allow quasioptical electrodynamic cavity solutions. The same device structure is considered in GaAs. The case of Si is much more complicated due to strong anisotropy of the valence band. The primary new result for Si is the first consideration of the anisotropy of optical phonon scattering for hot holes.