Transition from edge- to bulk-currents in the quantum Hall regime

The integer quantum Hall effect can be observed in a two-dimensional conductor penetrated by a perpendicular magnetic field and with edges connecting the current carrying contacts. Its signature is a state of quantized Hall and simultaneously vanishing longitudinal resistances. A widely accepted model is the Landauer–Büttiker picture, which assumes an incompressible, i.e., electrically insulating bulk state surrounded by current carrying one-dimensional edge channels. This single-particle model is challenged by the screening theory. It derives that electron–electron interaction leads to a fragmentation of the Hall bar into compressible and incompressible strips, where the current flows inside the incompressible strips. Because the latter gradually shifts from the sample edges into the bulk as the magnetic field is increased, it suggests a transition from edge- to bulk-current. We present direct experimental proof of this transition. Our results support the screening theory.

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Publication Details

Journal
Applied Physics Letters
Published
2025-06-16
DOI
https://doi.org/10.1063/5.0275599
Citations
1
Primary Topic
Quantum and electron transport phenomena
Type
article
Field-Weighted Citation Impact
1.25

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article

Transition from edge- to bulk-currents in the quantum Hall regime

A. Siddiki, V. Umansky, Stefan Ludwig, S. Sirt
1 citations
Applied Physics Letters
Quantum and electron transport phenomena
1.25
article

Transition from edge- to bulk-currents in the quantum Hall regime

A. Siddiki, V. Umansky, Stefan Ludwig, S. Sirt
article en
1 citations

Abstract

The integer quantum Hall effect can be observed in a two-dimensional conductor penetrated by a perpendicular magnetic field and with edges connecting the current carrying contacts. Its signature is a state of quantized Hall and simultaneously vanishing longitudinal resistances. A widely accepted model is the Landauer–Büttiker picture, which assumes an incompressible, i.e., electrically insulating bulk state surrounded by current carrying one-dimensional edge channels. This single-particle model is challenged by the screening theory. It derives that electron–electron interaction leads to a fragmentation of the Hall bar into compressible and incompressible strips, where the current flows inside the incompressible strips. Because the latter gradually shifts from the sample edges into the bulk as the magnetic field is increased, it suggests a transition from edge- to bulk-current. We present direct experimental proof of this transition. Our results support the screening theory.

Applied Physics LettersVol. 126(24)
Paul Drude Institute for Solid State Electronics (DE), Forschungsverbund Berlin (DE), Atlas Üniversitesi, Istanbul Arel University (TR), Weizmann Institute of Science (IL)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 20%
Quantum and electron transport phenomena
1.25
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Transition from edge- to bulk-currents in the quantum Hall regime — A. Siddiki, V. Umansky, et al. · Applied Physics Letters (2025) | TGRS Research Map | TGRS