Breakdown of the Wiedemann-Franz law in an interacting quantum Hall metamaterial Article Swipe

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P. Roche , Carles Altimiras , François Parmentier , Olivier Maillet ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2510.10391 · OA: W4415276202

Quantum heat transport by electrons in ballistic channels is usually well-described in the Landauer-Büttiker framework, which fails when introducing strong Coulomb interactions. We theoretically show that a chain of small metallic dots where charge cannot accumulate, connected by ballistic channels, conducts heat better than charge. We relate this feature to the competition between heat diffusion by neutral excitations and Coulomb interactions in the chain, which defines a temperature gradient over a finite characteristic length. We show that the Lorenz ratio can be arbitrarily large, scaling as the square root of the chain's length, which suggests new approaches for heat manipulation in mesoscopic systems.