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Two-terminal conductance quantization in the context of quantum Hall (QH)physics is intimately related to current carried by a discrete number of edgemodes. Upon pinching off of a QH bar, one may reach regimes in which some modeswhich are fully transmitted (while the others are fully reflected), giving riseto quantized conductance plateaus. Here we study an alternative protocol forquantized values of the conductance, which relies on inter-mode equilibration.Concretely this is the result of considering different inequalities betweencharge equilibration and thermal equilibration lengths on one hand andgeometrical lengths on the other hand, and accounting for the possibility ofedge reconstruction. Taking the 2/3 state as a prototypical example, we obtaina host of scenarios leading to conductance plateaus at $e^2/3h$ (observedpreviously), $e^2/2h$ (recently observed), and $5e^2/9h$ (our prediction). Ourapproach facilitates distinguishing among various scenarios based on dc currentauto- and cross-correlation (shot noise).

Diagnostics of Anomalous Conductance Plateaus in Abelian Quantum Hall Regime