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

Abstract

Couplings between topological edge channels open electronic phases possessing nontrivial eigenmodes far beyond the noninteracting-edge picture. However, inelastic scatterings mask the eigenmodes' inherent features, often preventing us from identifying the phases, as is the case for the quintessential Landau-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 crossover of the 1/3-1 channels by tuning the channel length in-situ using a new device architecture comprising a junction of v = 1/3 and 1 systems, the particle-hole conjugate of the 2/3 edge. We successfully observed the concurrence of the fluctuating electrical conductance and the quantized thermal conductance in the crossover regime, the definitive hallmark of the eigenmodes in the disorder-dominated edge phase left experimentally unverified.

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Cited by in corpus (8)

• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Localization and conductance in fractional quantum Hall edges
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions
• Ballistic-to-diffusive transition in engineered counter-propagating quantum Hall channels
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1
• Quantized Transport of $\nu =2/3$ Fractional Quantum Hall Edge with Disordered Superconducting Proximity