Evidence for correlated electron pairs and triplets in quantum Hall interferometers
Wenmin Yang1, David Perconte1, Corentin Déprez1
1Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, Grenoble, France.
Electron pairing and tripling mediated by repulsive forces were observed in graphene Quantum Hall Fabry-Pérot interferometers. This correlated charge transport involves entangled edge channels, revealing unusual electronic behaviors.
Area of Science:
- Condensed Matter Physics
- Quantum Phenomena
Background:
- Electron pairing is common in systems with attractive interactions, like superconductors.
- Repulsive Coulomb interactions can also mediate electron pairing under specific conditions.
- Quantum Hall (QH) Fabry-Pérot interferometers (FPIs) in 2D electron gases are platforms to study these phenomena.
Purpose of the Study:
- To investigate electron pairing mediated by repulsive forces in graphene QH FPIs.
- To explore emergent phenomena, such as electron tripling, in these systems.
- To elucidate the role of entangled quantum Hall edge channels in correlated transport.
Main Methods:
- Fabrication of graphene QH FPIs.
- Perpendicular magnetic field application.
- Plunger-gate spectroscopy to probe electron transport.
- Analysis of Aharonov-Bohm flux periodicity.
Main Results:
- Evidence of electron pairing at bulk filling factor νB = 2.
- Observation of electron tripling with a fractional Aharonov-Bohm flux period of h/3e at νB = 3.
- Demonstration that pairing/tripling involves correlated transport on two/three entangled QH edge channels.
- Quantum interference flux periodicity determined by the sum of phases from distinct edge channels.
Conclusions:
- Graphene QH FPIs exhibit unusual electron pairing and tripling mediated by repulsive interactions.
- Correlated charge transport on entangled QH edge channels is responsible for these phenomena.
- The observed flux periodicity provides insights into the phase accumulation in interfering edge channels.
Related Concept Videos
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
The de Broglie Wavelength
2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)
2D NMR: Overview of Heteronuclear Correlation Techniques
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the...


