Self-consistent calculation of the electron distribution near a Quantum-Point Contact in the integer Quantum Hall Effect

Abstract

In this work we implement the self-consistent Thomas-Fermi-Poisson approach to a homogeneous two dimensional electron system (2DES). We compute the electrostatic potential produced inside a semiconductor structure by a quantum-point-contact (QPC) placed at the surface of the semiconductor and biased with appropriate voltages. The model is based on a semi-analytical solution of the Laplace equation. Starting from the calculated confining potential, the self-consistent (screened) potential and the electron densities are calculated for finite temperature and magnetic field. We observe that there are mainly three characteristic rearrangements of the incompressible "edge" states, which will determine the current distribution near a QPC.

12 pages, 10 figures, submitted to Phys. Rev. B

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Cited by in corpus (20)

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• Orbital-free energy functional for electrons in two dimensions
• Optimization of edge state velocity in the integer quantum Hall regime
• Self-consistent Coulomb picture of an electron-electron bilayer system
• Semi-local density functional for the exchange-correlation energy of electrons in two dimensions
• Screening model of metallic non-ideal contacts at integer quantized Hall regime
• 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
• Time-dependent transport in Aharonov-Bohm interferometers
• 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)
• Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions
• Theoretical Investigation of Local Electron Temperature in Quantum Hall Systems
• The visibility of IQHE at sharp edges: Experimental proposals based on interactions and edge electrostatics
• Distribution of an Ohmic current in the close vicinity of a quantum point contact
• Half integer features in the quantum Hall Effect: experiment and theory
• Local current distribution at large quantum dots (QDs): a self-consistent screening model