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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Functional renormalization group analysis of the 1D dissipative Bose-Hubbard model reveals a Luttinger-liquid line of fixed points competing with a dissipative fixed point of finite compressibility and vanishing superfluid stiffness, separated by a BKT transition, for ohmic to super-ohmic baths.
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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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Functional renormalization group study of a dissipative Bose--Hubbard model
Functional renormalization group analysis of the 1D dissipative Bose-Hubbard model reveals a Luttinger-liquid line of fixed points competing with a dissipative fixed point of finite compressibility and vanishing superfluid stiffness, separated by a BKT transition, for ohmic to super-ohmic baths.