Wave function description of conductance mapping for quantum Hall electron interferometer
arXiv:1404.1091 · doi:10.1103/PhysRevB.89.165306
Abstract
Scanning gate microscopy of quantum point contacts (QPC) in the integer quantum Hall regime is considered in terms of the scattering wave functions with a finite-difference implementation of the quantum transmitting boundary approach. Conductance () maps for a clean QPC as well as for a system including an antidot within the constriction are evaluated. The step-like locally flat maps for clean QPCs turn into circular resonances that are reentrant in external magnetic field when the antidot is introduced to the constriction. The current circulation around the antidot and the spacing of the resonances at the magnetic field scale react to the probe approaching the QPC. The calculated maps with a rigid but soft antidot potential reproduce the features detected recently in the electron interferometer [F. Martins et al. Nature Sci. Rep. 3, 1416 (2013)].
References in corpus (11)
- Imaging Magnetic Focusing of Coherent Electron Waves
- Unexpected features of branched flow through high-mobility two-dimensional electron gases
- Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
- On the imaging of electron transport in semiconductor quantum structures by scanning-gate microscopy: successes and limitations
- Aharonov-Bohm electron interferometer in the integer quantum Hall regime
- Imaging Coulomb Islands in a Quantum Hall Interferometer
- Quantum transport in electron Fabry-Perot interferometers
- Imaging fractional incompressible stripes in integer quantum Hall systems
- Electron tunneling spectroscopy of a quantum antidot in the quantum Hall regime
- Single electron charging of impurity sites visualized by scanning gate experiments on a quantum point contact
- Interacting electrons in the Aharonov-Bohm interferometer