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Minimal Excitations in the Fractional Quantum Hall Regime
J Rech1, D Ferraro1, T Jonckheere1
1Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France.
Physical Review Letters
|March 4, 2017
Summary
We identified minimal excitations in fractional quantum Hall edges, extending levitons to interacting systems. These excitations carry integer charge and are observable via noise measurements, enabling real-time transport studies.
Area of Science:
- Condensed Matter Physics
- Quantum Hall Effect
- Mesoscopic Physics
Background:
- Fractional quantum Hall (FQH) states exhibit exotic excitations.
- Understanding edge excitations is crucial for FQH physics.
- Levitons are minimal excitations in some quantum systems.
Purpose of the Study:
- To investigate minimal excitations in interacting FQH edge systems.
- To extend the concept of levitons to these interacting systems.
- To provide experimental signatures for these novel excitations.
Main Methods:
- Perturbative calculations to analyze edge excitations.
- Exact diagonalization for precise characterization.
- Theoretical modeling of response to a Lorentzian potential with quantized flux.
Main Results:
- Minimal excitations, analogous to levitons, are found in interacting FQH edges.
- These excitations possess an integer charge, comprising multiple Laughlin quasiparticles.
- A Poissonian signature in Hanbury Brown-Twiss noise measurements at low transparency is predicted.
Conclusions:
- The identified excitations are experimentally accessible.
- They offer a pathway to study real-time transport of Abelian and non-Abelian excitations.
- This work advances the understanding of FQH edge physics and quantum transport.
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