Quantized charge fractionalization at quantum Hall Y junctions in the disorder-dominated regime

Abstract

Fractionalization is a phenomenon where an elementary excitation partitions into several pieces. This picture explains non-trivial transport through a junction of one-dimensional edge channels defined by topologically distinct quantum Hall states, for example, a hole-conjugate state at Landau-level filling factor $\nu$ = 2/3. Here we employ a time-resolved scheme to identify an elementary fractionalization process; injection of charge q from a non-interaction region into an interacting and scattering region of one-dimensional channels results in the formation of a collective excitation with charge $(1-\text{r})\text{q}$ by reflecting fractionalized charge $\text{rq}$. The fractionalization factors, $\text{r}$ = 0.34$\pm$0.03 for $\nu$ = 2/3 and $\text{r}$ = 0.49$\pm$0.03 for $\nu$ = 2, are consistent with the quantized values of 1/3 and 1/2, respectively, which are expected in the disorder dominated regime. The scheme can be used for generating and transporting fractionalized charges with a well-defined time course along a well-defined path.

arXiv comment5 figures, 9 pages

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• Time-resolved investigation of plasmon mode along interface channels in integer and fractional quantum Hall regimes
• Time-resolved measurement of ambipolar edge magnetoplasmon transport in InAs/InGaSb composite quantum wells
• Plasmon modes of coupled quantum Hall edge channels in the presence of disorder-induced tunneling
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Even-denominator fractional quantum Hall state in conventional triple-gated quantum point contact
• Non-uniform heat redistribution among multiple channels in the integer quantum Hall regime
• Charge-conserving equilibration of quantum Hall edge states
• In-plane gate induced transition asymmetry of spin-resolved Landau levels in InAs-based quantum wells
• Fractional quantum Hall edge polaritons
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator