Regensburg 2016 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 47: Quantum Hall Effect

HL 47.7: Vortrag

Mittwoch, 9. März 2016, 11:30–11:45, H14

The Physics of the Integer and Fractional Quantum Hall Effects — •Horst Jürgen Andrä — Former member of Institut für Kernphysik, Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster

A framework is presented for the understanding of both the Integer(I)- and the Fractional(F)-Quantum Hall Effect (QHE), including the widths of their plateaus. It is based on the condition of neutrality which enforces any change in the population of the 2-Dimensional Electron System (2DES) to also occur in an adjacent positive 2-Dimensional Hole Layer (HL). The near perfect exchange between the 2DES and the HL allows the description of the IQHE independent of any potential distribution across the 2DES. When on the contrary the HL is nearly constant for all magnetic fields then also the number of electrons in the 2DES has to be nearly constant for all magnetic fields. This is the condition for the description of all ever observed FQHE-signals as the result of a spatial electron and magnetic flux quantization. Experiments are proposed to proof these descriptions. The particular ν=5/2-, 7/2-, 9/2-, etc. FQHE states are interpreted as due to inter-Landau electron-electron interactions with specific selections rules. Tilted field experiments can be interpreted in terms of symmetry breaking. Hints on the origin of the reentrant integer quantum Hall states are given. For more details see DOI: 10.13140/RG.2.1.3864.7766