Edge reconstruction in the $\nu =2/3$ fractional quantum Hall state

Abstract

The edge structure of the $\nu =2/3$ fractional quantum Hall state has been studied for several decades but recent experiments, exhibiting upstream neutral mode(s), a plateau at a Hall conductance of $\frac{1}{3}(e^2/h)$ through a quantum point contact, and a crossover of the effective charge, from $e/3$ at high temperature to $2e/3$ at low temperature, could not be explained by a single theory. Here we develop such a theory, based on edge reconstruction due to a confining potential with finite slope, that admits an additional $\nu =1/3$ incompressible strip near the edge. Renormalization group analysis of the effective edge theory due to disorder and interactions explains the experimental observations.

Published version, added references and clarification, minor editing to improve readability, added quantitative analysis of some experimental data

References in corpus (4)

• Observation of neutral modes in the fractional quantum Hall regime
• Charge tunneling in fractional edge channels
• Imaging fractional incompressible stripes in integer quantum Hall systems
• Equilibration between edge states in the fractional quantum Hall effect regime at high imbalances

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