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.

5 figures, 9 pages

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Fractional statistics in anyon collisions
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime
• Charge equilibration in integer and fractional quantum Hall edge channels in a generalized Hall-bar device

Cited by in corpus (1)

• Time-resolved investigation of plasmon mode along interface channels in integer and fractional quantum Hall regimes