Self-consistent Coulomb picture of an electron-electron bilayer system

Abstract

In this work we implement the self-consistent Thomas-Fermi approach and a local conductivity model to an electron-electron bilayer system. The presence of an incompressible strip, originating from screening calculations at the top (or bottom) layer is considered as a source of an external potential fluctuation to the bottom (or top) layer. This essentially yields modifications to both screening properties and the magneto-transport quantities. The effect of the temperature, inter-layer distance and density mismatch on the density and the potential fluctuations are investigated. It is observed that the existence of the incompressible strips plays an important role simply due to their poor screening properties on both screening and the magneto-resistance (MR) properties. Here we also report and interpret the observed MR Hysteresis within our model.

12 pages, 12 figures, submitted to PRB

References in corpus (13)

• Vanishing Hall Resistance at High Magnetic Field in a Double Layer Two-Dimensional Electron System
• The microscopic nature of localization in the quantum Hall effect
• Activated Transport in the individual Layers that form the ${\nu }_T$=1 Exciton Condensate
• Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus
• Spin susceptibility of two-dimensional electrons in narrow AlAs quantum wells
• Spin polarization of edge states and magnetosubband structure in quantum wires
• Localization in the quantum Hall regime
• Self-consistent calculation of the electron distribution near a Quantum-Point Contact in the integer Quantum Hall Effect
• Suppression of compressible edge channels and spatial spin polarization in the integer quantum Hall regime
• The Interrelation between Incompressible Strips and Quantized Hall Plateaus
• Screening Model of Magnetotransport Hysteresis Observed in Bilayer Quantum Hall Systems
• Hysteresis in the quantum Hall regimes in electron double quantum well structures
• The quenching of compressible edge states around antidots

Cited by in corpus (8)

• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Current direction induced rectification effect on (integer) quantized Hall plateaus
• Reconciling edge states with compressible stripes in a ballistic mesoscopic conductor
• The visibility of IQHE at sharp edges: Experimental proposals based on interactions and edge electrostatics
• The effect of disorder within the interaction theory of integer quantized Hall effect
• A self-consistent microscopic model of Coulomb interaction in a bilayer system as an origin of Drag Effect Phenomenon
• The current polarization rectification of the integer quantized Hall effect
• Distribution of an Ohmic current in the close vicinity of a quantum point contact