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Strongly coupled edge states in a graphene quantum Hall interferometer

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arxiv 2312.03150 v2 pith:KPY7BVHE submitted 2023-12-05 cond-mat.mes-hall cond-mat.str-el

Strongly coupled edge states in a graphene quantum Hall interferometer

classification cond-mat.mes-hall cond-mat.str-el
keywords channelsedgedoublingfrequencyinteractioninterferenceinterferometerinterferometers
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Electronic interferometers using the chiral, one-dimensional (1D) edge channels of the quantum Hall effect (QHE) can demonstrate a wealth of fundamental phenomena. The recent observation of phase jumps in a Fabry-P\'erot (FP) interferometer revealed anyonic quasiparticle exchange statistics in the fractional QHE. When multiple integer edge channels are involved, FP interferometers have exhibited anomalous Aharonov-Bohm (AB) interference frequency doubling, suggesting putative pairing of electrons into 2e quasiparticles. Here, we use a highly tunable graphene-based QHE FP interferometer to observe the connection between interference phase jumps and AB frequency doubling, unveiling how strong repulsive interaction between edge channels leads to the apparent pairing phenomena. By tuning electron density in-situ from filling factor {\nu}<2 to {\nu}>7, we tune the interaction strength and observe periodic interference phase jumps leading to AB frequency doubling. Our observations demonstrate that the combination of repulsive interaction between the spin-split {\nu}=2 edge channels and charge quantization is sufficient to explain the frequency doubling, through a near-perfect charge screening between the localized and extended edge channels. Our results show that interferometers are sensitive probes of microscopic interactions and enable future experiments studying correlated electrons in 1D channels using our highly tunable platform.

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Cited by 2 Pith papers

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  1. Anyon braiding and telegraph noise in a graphene interferometer

    cond-mat.mes-hall 2024-03 unverdicted novelty 7.0

    Anyon braiding phase of 2π/3 extracted from three-state RTN in graphene interferometer for ν=1/3 and 4/3 FQHE states.

  2. Hard and soft phase slips in a Fabry-P\'erot quantum Hall interferometer

    cond-mat.mes-hall 2025-09 conditional novelty 5.0

    Quantum Hall interferometry resolves individual quasiparticle charging events and distinguishes bulk-puddle from defect-localized phase slips, with equilibration times that can reach minutes.