Four-site and larger mesoscopic quantum Hall circuits exhibit interaction-driven quantum critical points with universal scaling due to relevant higher-order backscattering, while multichannel versions can restore the boundary sine-Gordon description via edge-channel looping.
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 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.
years
2025 2representative citing papers
Arrays of metallic islands in quantum Hall systems exhibit fractional entropy scaling as (1/2) k_B log(N+1) and anomalous thermal transport with heat flow at zero temperature difference for ν=1.
citing papers explorer
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Tunneling in multi-site mesoscopic quantum Hall circuits
Four-site and larger mesoscopic quantum Hall circuits exhibit interaction-driven quantum critical points with universal scaling due to relevant higher-order backscattering, while multichannel versions can restore the boundary sine-Gordon description via edge-channel looping.
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Metallic island array as synthetic quantum matter: fractionalized entropy and thermal transport
Arrays of metallic islands in quantum Hall systems exhibit fractional entropy scaling as (1/2) k_B log(N+1) and anomalous thermal transport with heat flow at zero temperature difference for ν=1.