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HL: Fachverband Halbleiterphysik

HL 46: Transport in high magnetic field/quantum-Hall-effect

HL 46.1: Talk

Thursday, February 28, 2008, 11:45–12:00, EW 202

The role of the electric Hall field in the QHE — •Tobias Kramer — Institut I: Theoretische Physik, Universität Regensburg, Germany

I present a model of the quantum Hall effect, which incorporates the electric Hall field non-pertubatively. The presence of crossed electric and magnetic fields causes a quantization of the electronic drift current and leads to a non-linear transport theory, which explains the breakdown of the QHE at high currents.

For low temperatures (or high currents), the electric field splits higher Landau levels into non-integer sublevels. The appearance of the substructure and the non-integer plateaus in the resistivity is NOT linked to electron-electron interactions, but caused by the presence of a (linear) electric field. Some of the resulting fractions correspond exactly to half-integer plateaus.

References:

T. Kramer A heuristic quantum theory of the integer quantum Hall effect International Journal of Modern Physics B, 20, 1243-1260 (2006) http://arxiv.org/abs/cond-mat/0509451