Evidence for correlated electron pairs and triplets in quantum Hall interferometers

Wenmin Yang, David Perconte, Corentin Déprez, Kenji Watanabe, Takashi Taniguchi, Sylvain Dumont, Edouard Wagner, Frédéric Gay, Inès Safi, Hermann Sellier and Benjamin Sacépé ()
Additional contact information
Wenmin Yang: Institut Néel
David Perconte: Institut Néel
Corentin Déprez: Institut Néel
Kenji Watanabe: National Institute for Materials Science
Takashi Taniguchi: National Institute for Materials Science
Sylvain Dumont: Institut Néel
Edouard Wagner: Institut Néel
Frédéric Gay: Institut Néel
Inès Safi: Laboratoire de Physique des Solides
Hermann Sellier: Institut Néel
Benjamin Sacépé: Institut Néel

Nature Communications, 2024, vol. 15, issue 1, 1-10

Abstract: Abstract The pairing of electrons is ubiquitous in electronic systems featuring attractive inter–electron interactions, as exemplified in superconductors. Counterintuitively, it can also be mediated in certain circumstances by the repulsive Coulomb interaction alone. Quantum Hall (QH) Fabry–Pérot interferometers (FPIs) tailored in a two–dimensional electron gas under a perpendicular magnetic field have been argued to exhibit such an unusual electron pairing, seemingly without attractive interactions. Here, we show evidence in graphene QH FPIs, revealing not only a similar electron pairing at bulk filling factor νB = 2, but also an unforeseen emergence of electron tripling characterized by a fractional Aharonov–Bohm flux period of h/3e (h is the Planck constant and e the electron charge) at νB = 3. Leveraging plunger–gate spectroscopy, we demonstrate that electron pairing (tripling) involves correlated charge transport on two (three) entangled QH edge channels. This spectroscopy indicates a quantum interference flux periodicity determined by the sum of the phases acquired by the distinct QH edge channels having slightly different interfering areas. Phase jumps observed in the pajama maps can be accounted for by the frequency beating between pairing/tripling modes and the outer interfering edge.

Date: 2024
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DOI: 10.1038/s41467-024-54211-3

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