Cross-over between Magnetic and Electric Edges in Quantum Hall Systems
arXiv:1708.02379 · doi:10.1103/PhysRevB.96.081302
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.
arXiv commentlatex 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)
References in corpus (13)
- Topological Insulators
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Electrically driven single electron spin resonance in a slanting Zeeman field
- Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
- Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
- Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus
- Wavevector-dependent spin filtering and spin transport through magnetic barriers in graphene
- Electron transport and Goos-Hanchen shift in graphene with electric and magnetic barriers: optical analogy and band structure
- Effect of edge transmission and elastic scattering on the resistance of magnetic barriers
- Transport in two-dimensional electron gas narrow channel with a magnetic field gradient
- Quantized magnetic confinement in quantum wires
- An Electrostatic Model of Split-Gate Quantum Wires
- Observation of quantum states without a semiclassical equivalence bound by a magnetic field gradient