Localization in the quantum Hall regime

  title={Localization in the quantum Hall regime},
  author={Bernhard K. Kramer and Stefan Kettemann and Tomi Ohtsuki},
  journal={Physica E-low-dimensional Systems \& Nanostructures},
Scaling laws under quantum Hall effect for a smooth disorder potential
We carried out the analysis of discovered experimental values of the critical parameter κ for the quantum Hall plateau-plateau transitions in modulation-doped GaAs/AlGaAs heterostructures. It turned
A heuristic quantum theory of the integer quantum Hall effect
Contrary to common belief, the current emitted by a contact embedded in a two-dimensional electron gas (2DEG) is quantized in the presence of electric and magnetic fields. This observation suggests a
Landau level broadening without disorder, non-integer plateaus without interactions - an alternative model of the quantum Hall effect
I review some aspects of an alternative model of the quantum Hall effect, which is not based on the presence of disorder potentials. Instead, a quantization of the electronic drift current in the
Classical and quantum capacitances calculated locally considering a two-dimensional Hall bar
Linking Non-equilibrium Transport with the Many Particle Fermi Sea in the Quantum Hall Regime
The communication of the electron system with the outside world at low excitation transport experiments happens by exchanging electrons at the Fermi level. We argue that the locations where this is
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
The Consequences of Bulk Compressibility on the Magneto-Transport Properties within the Quantized Hall State
We discuss the role of direct Coulomb interaction on the bulk insulator of the integer quantized Hall effect that bridges the topological insulators and the conductance quantization. We investigate
The effect of disorder on local electron temperature in quantum Hall systems
Abstract The local electron temperature distribution is calculated considering a two dimensional electron system in the integer quantum Hall regime in presence of disorder and uniform perpendicular
Temperature scaling in the quantum-Hall-effect regime in a HgTe quantum well with an inverted energy spectrum
The longitudinal and Hall magnetoresistances of HgTe/HgCdTe heterostructures with an inverted energy spectrum (the HgTe quantum well width is d = 20.3 nm) are measured in the quantum-Hall-effect


Size-dependent analysis of the metal-insulator transition in the integral quantum Hall effect.
A universal behavior for the three lowest Landau levels is obtained in agreement with the universality prediction of the field-theoretic approach to the metal-insulator transition in the quantum Hall effect.
Scaling and Universality in the Integer Quantum Hall Effect
For a model of noninteracting electrons in a disorder potential under quantum Hall conditions the critical behavior near the centers of the two lowest Landau levels and its dependence on the
Point-contact conductances at the quantum Hall transition
On the basis of the Chalker-Coddington network model, a numerical and analytical study is made of the statistics of point-contact conductances for systems in the integer quantum Hall regime. In the
Universal Multifractality in Quantum Hall Systems with Long-Range Disorder Potential
We investigate numerically the localization-delocalization transition in quantum Hall systems with long-range disorder potential with respect to multifractal properties. Wave functions at the
Hopping conductivity in the quantum Hall effect: revival of universal scaling.
Using variable-range hopping theory, the results show for all samples a power-law behavior xi equivalent to /deltanu/(-gamma) in agreement with the theoretically proposed universal exponent gamma = 2.35.
Two-Dimensional Electrons in a Strong Magnetic Field with Disorder: Divergence of the Localization Length
Electrons on a square lattice with half a flux quantum per plaquette are considered. An effective description for the current loops is given by a two-dimensional Dirac theory with random mass. It is
Toward a theory of the integer quantum Hall transition: Continuum limit of the Chalker–Coddington model
An N-channel generalization of the network model of Chalker and Coddington is considered. The model for N=1 is known to describe the critical behavior at the plateau transition in systems exhibiting
Integer quantum Hall transition in the presence of a long-range-correlated quenched disorder
We theoretically study the effect of long-ranged inhomogeneities on the critical properties of the integer quantum Hall transition. For this purpose we employ the real-space renormalization-group