Magnetic-Field-Dependent Equilibration of Fractional Quantum Hall Edge Modes

Abstract

Fractional conductance is measured by partitioning a ν = 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 ν = 1 plateau, respectively. The findings are explained by magnetic field dependent equilibration of three FQH edge modes with conductance e 2 / 3 h arising from edge reconstruction. The results reveal a remarkable enhancement of the equilibration lengths of the FQH edge modes with increasing magnetic field.