Vanishing Thermal Equilibration for Hole-Conjugate Fractional Quantum Hall States in Graphene

Transport through edge-channels is responsible for conduction in quantum Hall (QH) phases. Topology dictates quantization of both charge and thermal transport coefficients. These turn out to approach robust quantized values when incoherent equilibration processes become dominant. Here, we report on measurements electrical conductances integer fractional (FQH) phases, realized hBN encapsulated graphite gated bilayer graphene devices. Remarkably, the complex edge at filling factors $\nu=5/3$ $\nu=8/3$, which correspond paradigmatic hole-conjugate FQH phase $\nu=2/3$ partially filled Landau level, find vanishing equilibration. This striking, given that, same time, our results conductance indicate efficient are accord with theoretical analysis, pointing a divergent length limit strong electrostatic interaction. Our elucidate subtle nature crossover from mesoscopic topology-dominated electronic two-dimensional topological