@phdthesis{Racec2002, author = {Racec, Paul Nicolae}, title = {Transport phenomena and capacitance of open quantum semiconductor nanostructures}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-000000211}, school = {BTU Cottbus - Senftenberg}, year = {2002}, abstract = {We consider semiconductor devices at very low temperatures, composed of a mesoscopic quantum structure (QS) constituting the active region contacted by ideal probes with infinite conductivity. The coherent transport through the QS is described in the Landauer-B{\"u}ttiker formalism. We perform self-consistent calculations for the electron density in the QS. We present a capacitance model that takes into account the openness of the QS and the existence of finite contacts embedding the system. For single-barrier tunnelling structures, we present the implicit connection between the capacitance and the conductance. For a field induced two-dimensional electron gas in a special GaAs/AlxGa1-xAs heterostructure we present a detailed analysis of the coupling to the contact reservoir. Excellent quantitative agreement in the C-V characteristic is obtained. It is also analized the conductivity of systems with confinement in more dimensions.}, subject = {Galliumarsenid; Heterostruktur; Elektronischer Transport; Kapazit{\"a}ts-Spannungs-Kennlinie; S-Matrix; Semiconductor nanostructures; Transport; Open systems; Resonance theory; Capacitance}, language = {en} }