Breakdown of the Wiedemann-Franz Law in an Interacting Quantum Hall Metamaterial

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Abstract
Coulomb interactions deeply affect quantum transport in simple ballistic systems, but their impact on scaled up ballistic structures remains underexplored. Here, we theoretically consider a chain of small metallic dots with frozen charge dynamics connected by ballistic channels. We identify a neutral mode of transport that is specific to a chain with at least two islands and entwines local diffusion by neutral excitations with long-range correlations between the islands' charge states. We show, as an experimentally measurable signature of this many-body behavior, that the Wiedemann-Franz law is violated with a Lorenz ratio scaling as the square root of the chain's length.
Funding Information
  • Agence Nationale de la Recherche (ANR-23-CE47-0002 CRAQUANT)
  • Agence Nationale de la Recherche (ANR-25-ERCS-0006 ANYQUAC)
  • European Research Council (ERC-2018-STG QUAHQ)
  • Laboratoire d’excellence Physique Atomes Lumière Matière (ANR-10-LABX-0039-PALM)
  • Region Ile de France

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