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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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.
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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.