Cross-over between magnetic and electric edges in quantum Hall systems

Alain Nogaret, Puja Mondal, Ankip Kumar, Sankalpa Ghosh, Harvey Beere, David Ritchie

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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 wave functions on the scale of the magnetic length. Conduction at the magnetic edges, in the two-dimensional bulk, is found to compete with conduction at the electric edges until the magnetic edges become depleted. Current lines then move to the electrostatic edges as in the conventional quantum Hall picture. The conductivity was modeled using the quantum Boltzmann equation in the exact hybrid potential. The theory predicts the features of the bulk-edge crossover, in good agreement with experiment.
Original languageEnglish
Article number081302
JournalPhysical Review B : Condensed Matter and Materials Physics
Volume96
Issue number081302 (R)
DOIs
Publication statusPublished - 2 Aug 2017

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Two dimensional electron gas
Boltzmann equation
Wave functions
Electrostatics
Tuning
Magnetic fields
Experiments
line current
conduction
notches
electron gas
crossovers
tuning
wave functions
electrostatics
conductivity
magnetic fields

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Cross-over between magnetic and electric edges in quantum Hall systems. / Nogaret, Alain; Mondal, Puja; Kumar, Ankip; Ghosh, Sankalpa; Beere, Harvey; Ritchie, David.

In: Physical Review B : Condensed Matter and Materials Physics, Vol. 96, No. 081302 (R), 081302, 02.08.2017.

Research output: Contribution to journalArticle

Nogaret, Alain ; Mondal, Puja ; Kumar, Ankip ; Ghosh, Sankalpa ; Beere, Harvey ; Ritchie, David. / Cross-over between magnetic and electric edges in quantum Hall systems. In: Physical Review B : Condensed Matter and Materials Physics. 2017 ; Vol. 96, No. 081302 (R).
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