Range-Dependent Disorder Effects on the Plateau-Widths Calculated within the Screening Theory of the Iqhe

Abstract

We summarize the screening theory of the integer quantized Hall effect (IQHE) and emphasize its two key mechanisms: first, the existence, in certain magnetic field intervals, of incompressible strips, with integer values of the local filling factor and quantized values of longitudinal and Hall resistivity, and second, the confinement of an imposed dissipative current to these strips, leading to the quantization of the global resistances. We demonstrate that, without any localization assumption, this theory explains the enormous experimental reproducibility of the quantized resistance values, as well as experimental results on the potential distribution in narrow Hall bars. We further demonstrate that inclusion of long-range potential fluctuations allows to apply the theory to wider Hall bars, and can lead to a broadening of the quantum Hall plateaus, whereas short-range disorder tends to narrow the plateaus.

10 pages, 4 figures, paper of the invited talk at Semi-Mag 17, Wuerzburg, Germany

References in corpus (4)

• Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus
• Self-consistent local-equilibrium model for density profile and distribution of dissipative currents in a Hall bar under strong magnetic fields
• Localization in the quantum Hall regime
• The Interrelation between Incompressible Strips and Quantized Hall Plateaus

Cited by in corpus (13)

• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Quantum Hall effect in a high-mobility two-dimensional electron gas on the surface of a cylinder
• Interaction mediated asymmetries of the quantized Hall effect
• Quantum Hall Resistance Overshoot in 2-Dimensional Electron Gases - Theory and Experiment
• Current direction induced rectification effect on (integer) quantized Hall plateaus
• Investigations on unconventional aspects in the quantum Hall regime of narrow gate defined channels
• The spin-split incompressible edge states within empirical Hartree approximation at intermediately large Hall samples
• The effect of sample properties on the electron velocity in quantum Hall bars
• Evanescent incompressible strips as origin of the observed Hall resistance overshoot
• The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)
• Transition from edge- to bulk-currents in the quantum Hall regime
• Microscopic theory of the activated behavior of the quantized Hall effect
• Current density distribution for the quantum Hall effect