Cross-over between Magnetic and Electric Edges in Quantum Hall Systems
Abstract
We report on the transition from magnetic edge to electric edge transport in a split magnetic gate device which applies a notch magnetic field to a two-dimensional electron gas. The gate bias allows tuning the overlap of magnetic and electric edge wavefunctions on the scale of the magnetic length. Conduction at magnetic edges - in the 2D-bulk - is found to compete with conduction at electric edges until magnetic edges become depleted. Current lines then move to the electrostatic edges as in the conventional quantum Hall picture. The conductivity was modelled using the quantum Boltzmann equation in the exact hybrid potential. The theory predicts the features of the bulk-edge cross-over in good agreement with experiment.
Keywords
Cite
@article{arxiv.1708.02379,
title = {Cross-over between Magnetic and Electric Edges in Quantum Hall Systems},
author = {Alain Nogaret and Puja Mondal and Ankip Kumar and Sankalpa Ghosh and Harvey Beere and David Ritchi},
journal= {arXiv preprint arXiv:1708.02379},
year = {2017}
}
Comments
latex file, four figures( Experiment and Theory) , Rapid Communication ( supplementary information available at https://journals.aps.org/prb/supplemental/10.1103/PhysRevB.96.081302 or upon request)