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.
In this case, the backscat- tering Hamiltonian (25) can be written as Hb = X j=L,M,R 2D|rj| π cos ΦjC√ 2 cos ΦjS√ 2 ,(26) which shows the spin-charge separation
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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.