Optical properties of semiconductor nanostructures in magnetic field [Elektronische Ressource] / von Michal Grochol

Optical Properties of SemiconductorNanostructures in Magnetic FieldDISSERTATIONzur Erlangung des akademischen Gradesdoctor rerum naturalium(Dr. rer. nat.)im Fach Physikeingereicht an derMathematisch-Naturwissenschaftlichen Fakultät IHumboldt-Universität zu BerlinvonHerrn Magister Michal Grocholgeboren am 22.10.1979 in Ostrava, Tschechische RepublikPräsident der Humboldt-Universität zu Berlin:Prof. Dr. Christoph MarkschiesDekan der Mathematisch-Naturwissenschaftlichen Fakultät I:Prof. Dr. Christian LimbergGutachter:1. Prof. Dr. R. Zimmermann (HU Berlin)2. PD Dr. B. Esser (HU Berlin)3. Prof. Dr. P. Vogl (TU München)eingereicht am: 15. Januar 2007Tag der mündlichen Prüfung: 03. April 2007iiAbstractIn this work, the near bandgap linear optical properties of semiconductorquantum structures under applied magnetic field are investigated. Theseproperties are determined mainly by a quasi-particle consisting of one elec-tron and one hole called exciton.First, the exciton theory is developed starting with the one-electron Ha-miltonian in a crystal, continuing with the Luttinger and Bir-Pikus Hamil-tonian, and ending with the exciton Hamiltonian in the envelope functionapproximation. Further, concentrating on the quantum well and thus as-suming strong confinement in the growth (z-) direction, the motion paralleland perpendicular to the xy-plane is factorized leading to the well-knownsingle sublevel approximation.