Regensburg 2016 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 47: Quantum Hall Effect

HL 47.6: Vortrag

Mittwoch, 9. März 2016, 11:15–11:30, H14

Coupling non-equilibrium transport and the stationary many particle Fermi Sea for numerical modelling of the integer quantum Hall effect regime — •Josef Oswald¹ and Rudolf Römer² — ¹Institute of Physics, Leoben University, Franz Josef Str. 18, A-8700, Leoben, Austria — ²Department of Physics, University of Warwick, Coventry CV4 7AL, UK

Even 35 years after discovery, the quantum Hall effect (QHE) remains an interesting and still challenging topic of research. The challenge of modelling experiments in the QHE regime is the need of a link between the Fermi Sea as a stationary many particle quantum state and the experimentally injected non-equilibrium.

This is handled by two modules : One addresses the stationary many particle Fermi sea on the basis of a self-consistent numerical Hartree-Fock (HF) approach and the other addresses the non-equilibrium electron transport by a network approach. It allows us to simulate directly the distributions of the experimentally injected non-equilibrium potentials at arbitrary contact configurations in arbitrarily shaped sample geometries, including native and artificial in-homogeneity. The associated resistances need to be calculated only in a post processing step like it is also the case in real experiments. The screening behaviour of the electron system is addressed by the HF module that allows seeing effects like filling factor dependent screening, Landau-level broadening and enhanced g-factor. These effects enter the properties of the transport module and allow a modelling that is much more close to real systems and real experiments then most of other models.