Evanescent incompressible strips as origin of the observed Hall resistance overshoot

In this work we provide a systematic explanation to the unusual non-monotonic behavior of the Hall resistance observed at two-dimensional electron systems. We use a semi-analytical model based on the interaction theory of the integer quantized Hall effect to investigate the existence of the anomalous, \emph{i.e} overshoot, Hall resistance $R_{H}$. The observation of the overshoot resistance at low magnetic field edge of the plateaus is elucidated by means of overlapping evanescent incompressible strips, formed due to strong magnetic fields and interactions. Utilizing a self-consistent numerical scheme we also show that, if the magnetic field is decreased the $R_{H}$ decreases to its expected value. The effects of the sample width, temperature, disorder strength and magnetic field on the overshoot peaks are investigated in detail. Based on our findings, we predict a controllable procedure to manipulate the maxima of the peaks, which can be tested experimentally. Our model does not depend on specific and intrinsic properties of the material, provided that a single particle gap exists.Comment: A theoretical follow-up paper of arXiv:1007.258

The effect of disorder on integer quantized Hall effect

We study the effects of disorder on the integer quantized Hall effect within the screening theory, systematically. The disorder potential is analyzed considering the range of the potential fluctuations. The short-range potential fluctuations ( less than or similar to 20 nm) stems from single impurities and defines the Landau level broadening, whereas, the long-range potential fluctuations ( greater than or similar to 200 nm) are calculated from the potential overlap of many-impurities, which in turn determines the widths of the plateaus. The short-range part is taken into account via self-consistent Born approximation hence determining the conductivities and a local version of Ohm's law is utilized to define charge transport. We investigate the long range potential fluctuations taking into account interaction effects and explore its effect on the formation of quantum Hall plateaus depending on the number of impurities, the amplitude of the impurity potential and the separation thickness by solving the 3D Poisson equation iteratively. We discuss the long range part of the potential fluctuations by investigating the Coulomb interaction of the two dimension electron gas numerically. We show that the widths of the quantized Hall plateaus increase with increasing disorder, whereas the influence of level broadening is suppressed at narrow Hall bars. (c) 2012 Elsevier B.V. All rights reserved

The effect of disorder on integer quantized Hall effect

We study the effects of disorder on the integer quantized Hall effect within the screening theory, systematically. The disorder potential is analyzed considering the range of the potential fluctuations. The short-range potential fluctuations ( less than or similar to 20 nm) stems from single impurities and defines the Landau level broadening, whereas, the long-range potential fluctuations ( greater than or similar to 200 nm) are calculated from the potential overlap of many-impurities, which in turn determines the widths of the plateaus. The short-range part is taken into account via self-consistent Born approximation hence determining the conductivities and a local version of Ohm's law is utilized to define charge transport. We investigate the long range potential fluctuations taking into account interaction effects and explore its effect on the formation of quantum Hall plateaus depending on the number of impurities, the amplitude of the impurity potential and the separation thickness by solving the 3D Poisson equation iteratively. We discuss the long range part of the potential fluctuations by investigating the Coulomb interaction of the two dimension electron gas numerically. We show that the widths of the quantized Hall plateaus increase with increasing disorder, whereas the influence of level broadening is suppressed at narrow Hall bars. (c) 2012 Elsevier B.V. All rights reserved