Distribution of an Ohmic current in the close vicinity of a quantum point contact
arXiv:0802.0915 · doi:10.1088/1742-6596/99/1/012020
Abstract
We present the essential findings of the screening theory of the integer quantum Hall effect (IQHE) considering a quantum point contact (QPC). Our approach is to solve the Poisson and the Schroedinger equations self-consistently, taking into account electron interactions, within a Hartree type approximation for a two dimensional electron gas (2DEG) subject to high perpendicular magnetic fields. The Coulomb interaction between the electrons separates 2DEG into two co-existing regions, namely quasi-metallic compressible and quasi-insulating incompressible regions, which exhibit peculiar screening and transport properties. In the presence of an external current, we show that this current is confined into the incompressible regions where the drift velocity is finite. In particular, we investigate the distribution of these incompressible strips and their relation with the quantum Hall plateaus considering a quasi 1D constriction, i.e. a QPC.
References in corpus (11)
- The microscopic nature of localization in the quantum Hall effect
- Imaging Magnetic Focusing of Coherent Electron Waves
- Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus
- Coherence oscillations in dephasing by non-Gaussian shot noise
- Particle-hole symmetric Luttinger liquids in a quantum Hall circuit
- Self-consistent calculation of the electron distribution near a Quantum-Point Contact in the integer Quantum Hall Effect
- The Interrelation between Incompressible Strips and Quantized Hall Plateaus
- Screening Model of Magnetotransport Hysteresis Observed in Bilayer Quantum Hall Systems
- Self-consistent Coulomb picture of an electron-electron bilayer system
- The effect of sample properties on the electron velocity in quantum Hall bars
- A heuristic quantum theory of the integer quantum Hall effect