Electronic correlation in the quantum Hall regime [Elektronische Ressource] / von Marcus Kasner

Electronic correlation in the quantum Hall regimeHabilitationsschriftzur Erlangung des akademischen Gradesdoctor rerum naturalium habilitatus (Dr. rer. nat. habil.)genehmigt durch die Fakult at furNaturwissenschaftender Otto-von-Guericke-Universit at Magdeburgvon Dr. rer. nat. Marcus Kasnergeb. am 07.07.1957 in PerlebergGutachter:Prof. Dr. Harald B ottgerProf. Dr. Bernhard KramerProf. Dr. Ulrich R o lerMagdeburg, den 09.01.200223AbstractTwo-dimensional electron systems (2DES) of high-mobility can be experimentally realized inmodern semiconductor devices near interfaces. In particular, the limit of a strong magnetic eldnormal to the interface o ers the opportunity to study an electronic system, which is unique in manyrespects. Due to the strong eld, all electrons can be accommodated in the lowest orbital Landaulevel of quenched kinetic energy resulting in a macroscopic degeneracy of the non-interacting groundstate. Thus, the only relevant energy scale of the system is set by the interaction energy, whichturns the system into a strongly correlated one.The existence of energy gaps at certain lling factors is one of the reasons for remarkableanomalies in magneto-transport, the quantum Hall e ects. These exhibit features that are verydi erent from those in lower magnetic eld experiments.