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

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Cited by in corpus (17)

• Quantum Hall effect in a high-mobility two-dimensional electron gas on the surface of a cylinder
• Asymmetric non-linear response of the IQHE
• Optimization of edge state velocity in the integer quantum Hall regime
• Quantum Hall Resistance Overshoot in 2-Dimensional Electron Gases - Theory and Experiment
• Interaction mediated asymmetries of the quantized Hall effect
• Landauer-Büttiker approach for hyperfine mediated electronic transport in the integer quantum Hall regime
• Screening model of metallic non-ideal contacts at integer quantized Hall regime
• Spatial Distribution of the Incompressible Strips at Aharonov-Bohm Interferometer
• Time-dependent transport in Aharonov-Bohm interferometers
• Edge electrostatics revisited
• Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions
• The visibility of IQHE at sharp edges: Experimental proposals based on interactions and edge electrostatics
• Investigation of the coupling asymmetries at double-slit interference experiments
• The effect of disorder within the interaction theory of integer quantized Hall effect
• Stability of spin droplets in realistic quantum Hall devices
• Screening theory based modeling of the quantum Hall based quasi-particle interferometers defined at quantum-dots
• Inferring the transport properties of edge-states formed at quantum Hall based Aharonov-Bohm interferometers theoretically