Edge reconstruction of compressible Quantum Hall fluid in the filling fraction range 1/3 to 2/3

TL;DR

This study investigates edge reconstruction in compressible quantum Hall fluids between filling fractions 1/3 and 2/3, revealing non-equilibrated fractional edge modes that support adiabatic charge transport at high magnetic fields.

Contribution

It provides experimental evidence of edge mode reconstruction and non-equilibration in compressible quantum Hall states, advancing understanding of edge dynamics under strong magnetic fields.

Findings

Deviations from fully equilibrated conductance at higher magnetic fields.

Presence of reconstructed fractional edge modes that do not fully equilibrate.

Support for adiabatic charge transport through non-equilibrated edge modes.

Abstract

Edge reconstruction of gate-tunable compressible quantum Hall fluids in the filling fraction range 1/3 to 2/3 is studied by measuring transmitted conductance of two individually excited fractional $e^2/3h$ edge modes of bulk 2/3 fractional quantum Hall fluid. Our findings reveal that the measured transmitted conductance deviates from the fully equilibrated value for the filling fraction range 1/3 to 2/3 of the gate-tunable compressible quantum Hall fluids at higher magnetic fields. This observation suggests that at the boundary of the compressible fluid a reconstructed $e^2/3h$ fractional edge mode is present and the mode does not completely equilibrate with the inner dissipative bulk region. Consequently, this outer reconstructed edge mode supports adiabatic charge transport, allowing non-equilibrated current transport through the compressible region. These studies open new avenues for achieving robust fractional edge modes even in compressible quantum Hall fluids under strong magnetic fields, enhancing our understanding of edge state dynamics in these complex systems.