Magnetotransport calculations for two-dimensional electrons with exchange and correlation interactions

• We have calculated the Hall and longitudinal resistances (conductivities) of the two-dimensional electron system.
• In the calculations, Thomas-Fermi-Dirac approximation (TFDA) were combined with the self-consistent Born approximation (SCBA).
• Even-integer quantized Hall plateaus remain unchanged while the odd-integer ones enhance with the changing effective potentials.
• The contribution of the exchange interaction is more effective than the correlation contribution.
• The reported results are in well agreement with the experimental observations.

In this paper, we investigate the short-range disorder within the self-consistent Born approximation which is an appropriate form of broadened Landau density of states for strong, quantizing magnetic fields to calculate conductivities in the quantum Hall regime. We have performed self-consistent calculations of the magnetoconductivity in a two-dimensional electron system including the exchange and correlation interactions. We also investigate the transport properties of the evanescent incompressible strips where the non-local effects on the conductivity along those strips are simulated by an appropriate averaging procedure.

Hall and longitudinal resistances, within the integer quantized Hall effect, in a given magnetic field (ℏωc/Ebg0), comparing the results with and without exchange and correlation potentials (TC) (Vxc). The sample parameters are d=1.5μm, γ=0.1γ=0.1 and kBT/Ebg0=10−6.Figure optionsDownload as PowerPoint slide