Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime

Abstract

The electron and current density distributions in the close proximity of quantum point contacts (QPCs) are investigated. A three dimensional Poisson equation is solved self-consistently to obtain the electron density and potential profile in the absence of an external magnetic field for gate and etching defined devices. We observe the surface charges and their apparent effect on the confinement potential, when considering the (deeply) etched QPCs. In the presence of an external magnetic field, we investigate the formation of the incompressible strips and their influence on the current distribution both in the linear response and out of linear response regime. A spatial asymmetry of the current carrying incompressible strips, induced by the large source drain voltages, is reported for such devices in the non-linear regime.

16 Pages, 9 Figures, submitted to PRB

References in corpus (24)

• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Magnetic impurity formation in quantum point contacts
• Imaging Magnetic Focusing of Coherent Electron Waves
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Finite bias visibility of the electronic Mach-Zehnder interferometer
• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Edge Channel Interference Controlled by Landau Level Filling
• Decoherence and interactions in an electronic Mach-Zehnder interferometer
• Aharonov-Bohm electron interferometer in the integer quantum Hall regime
• Coherence oscillations in dephasing by non-Gaussian shot noise
• Exchange-energy functionals for finite two-dimensional systems
• Conductance of a quantum point contact based on spin-density-functional theory
• Electron propagation in crossed magnetic and electric fields
• Range-Dependent Disorder Effects on the Plateau-Widths Calculated within the Screening Theory of the Iqhe
• Screening Model of Magnetotransport Hysteresis Observed in Bilayer Quantum Hall Systems
• Investigations on unconventional aspects in the quantum Hall regime of narrow gate defined channels
• Magnetosubband and edge state structure in cleaved-edge overgrown quantum wires
• 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
• Transport through constricted quantum Hall edge systems: beyond the quantum point contact
• A heuristic quantum theory of the integer quantum Hall effect
• Tunability of qubit Coulomb interaction: Numerical analysis of top gate depletion in two-dimensional electron systems
• Where are the edge-states near the quantum point contacts? A self-consistent approach
• The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)