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Couplings between topological edge channels open electronic phases possessingnontrivial eigenmodes far beyond the noninteracting-edge picture. However,inelastic scatterings mask the eigenmodes' inherent features, often preventingus from identifying the phases, as is the case for the quintessentialLandau-level filling factor v = 2/3 edge composed of the counter-propagating v= 1/3 and 1 (1/3-1) channels. Here, we study the coherent-incoherent crossoverof the 1/3-1 channels by tuning the channel length in-situ using a new devicearchitecture comprising a junction of v = 1/3 and 1 systems, the particle-holeconjugate of the 2/3 edge. We successfully observed the concurrence of thefluctuating electrical conductance and the quantized thermal conductance in thecrossover regime, the definitive hallmark of the eigenmodes in thedisorder-dominated edge phase left experimentally unverified.

Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase