Magnetic field dependent equilibration of fractional quantum Hall edge modes

Abstract

Fractional conductance is measured by partitioning $\nu =1$ edge state using gate-tunable fractional quantum Hall (FQH) liquids of filling 1/3 or 2/3 for current injection and detection. We observe two sets of FQH plateaus 1/9, 2/9, 4/9 and 1/6, 1/3, 2/3 at low and high magnetic field ends of the $\nu =1$ plateau respectively. The findings are explained by magnetic field dependent equilibration of three FQH edge modes with conductance $e^2/3h$ arising from edge reconstruction. The results reveal remarkable enhancement of the equilibration lengths of the FQH edge modes with increasing field.

arXiv commentSupplemental information included

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Cited by in corpus (11)

• Fractional Edge Reconstruction in Integer Quantum Hall Phases
• Andreev reflection of fractional quantum Hall quasiparticles
• Half-integer conductance plateau at the $\nu =2/3$ fractional quantum Hall state in a quantum point contact
• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
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