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Quantized charge fractionalization at quantum Hall Y junctions in the disorder dominated regime
Chaojing Lin1,2, Masayuki Hashisaka3, Takafumi Akiho3
1Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo, 152-8551, Japan. lin.c.ad@m.titech.ac.jp.
Nature Communications
|January 7, 2021
Summary
Elementary excitations split into pieces through fractionalization. This study identifies this process in quantum Hall states, observing reflected fractionalized charges and paving the way for controlled transport of these unique particles.
Area of Science:
- Condensed matter physics
- Quantum Hall effect
- Topological states of matter
Background:
- Fractionalization describes elementary excitations dividing into multiple parts.
- This phenomenon is key to understanding transport in one-dimensional edge channels of topologically distinct quantum Hall states.
- A hole-conjugate state at Landau-level filling factor ν = 2/3 serves as an example.
Purpose of the Study:
- To experimentally identify and characterize an elementary fractionalization process.
- To investigate the behavior of charge carriers at the junction of interacting and non-interacting quantum channels.
- To demonstrate a method for generating and transporting fractionalized charges.
Main Methods:
- Utilizing a time-resolved scheme to observe fractionalization.
- Injecting charge into a region of interacting and scattering one-dimensional channels.
- Measuring the reflected fractionalized charge to determine fractionalization factors.
Main Results:
- Observed the formation of a collective excitation with charge (1-r)q and reflected fractionalized charge rq.
- Measured fractionalization factors r = 0.34 ± 0.03 for ν = 2/3 and r = 0.49 ± 0.03 for ν = 2.
- These experimental values align with theoretical predictions of 1/3 and 1/2 in the disorder-dominated regime.
Conclusions:
- The study successfully identified an elementary fractionalization process in quantum Hall systems.
- The results confirm theoretical expectations for fractionalization factors in specific quantum Hall states.
- The developed time-resolved scheme offers a pathway for controlled generation and transport of fractionalized charges.
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