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Quantum Hall systems featuring counterpropagating edge states can exhibit nonuniversal transport regimes, often dependent on sample size. Here, we experimentally investigate the transport properties of a specially designed quantum Hall device hosting a tunable number of counterpropagating edge states. These edge states are coupled via Landauer reservoirs, enabling charge equilibration over a controllable effective length. Charge transport is governed by the balance between up- and downstream channels: when channel numbers are unequal, a ballistic transport regime emerges; with equal channel numbers, a transition to a critical diffusive regime is observed, marked by a diverging equilibration length. This experimental technique enables simulation of the equilibration dynamics of hole-conjugate states and other exotic quantum Hall phenomena using well-understood quantum Hall states under fully controlled conditions.

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• Creative Commons BY Attribution 4.0 International
  

Keyword: quantum Hall effect
, counterpropagating edge states
, ballistic-to-diffusive transition

Date published: 2025-11-19

Publisher: American Physical Society (APS)

Journal:

• Physical Review Research (ISSN: 26431564) vol. 7 issue. 4 L042037

Funding:

• H2020 European Research Council ERC-2018-STG
• Laboratoire d’excellence Physique Atomes Lumière Matière ANR-10-LABX-0039-PALM
• Agence Nationale de la Recherche ANR-23-CE47-0002 CRAQUANT
• Japan Society for the Promotion of Science 21H05233
• Japan Society for the Promotion of Science 23H02052
• Collaborative Research in Engineering, Science and Technology Centre JPMJCR24A5

Manuscript type: Publisher's version (Version of record)

MDR DOI:

First published URL: https://doi.org/10.1103/3d25-wpth

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Updated at: 2026-02-16 16:30:53 +0900

Published on MDR: 2026-02-16 13:57:32 +0900