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.

Supplemental information included

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Cited by in corpus (10)

• 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
• Anomalous quantized plateaus in two-dimensional electron gas with gate confinement
• Spin-Selective Equilibration among Integer Quantum Hall Edge Channels
• Temperature dependent equilibration of spin orthogonal quantum Hall edge modes
• Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
• Edge reconstruction of compressible Quantum Hall fluid in the filling fraction range 1/3 to 2/3
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1
• Elevated Hall Responses as Indicators of Edge Reconstruction