Coherent bunching of anyons and dissociation in an interference experiment

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Abstract

Aharonov-Bohm interference of fractional quasiparticles in the quantum Hall effect generally reveals their elementary charge (e*)1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14-15. Recently, our interferometry experiments with several 'particle states' reported flux periods of Delta Phi = (e/e*)Phi 0 (with Phi 0 the flux quantum) at moderate temperatures16. Here we report interference measurements of 'particle-hole conjugated' states at filling factors nu = 2/3, 3/5 and 4/7, which revealed unexpected flux periodicities of Delta Phi = nu-1 Phi 0. The measured shot-noise Fano factor (F) of the partitioned quasiparticles in each of the quantum point contacts of the interferometer was F = nu (ref. 17) rather than that of the elementary charge F = e*/e (refs. 18,19). These observations indicate that the interference of bunched (clustered) elementary quasiparticles occurred for coherent pairs, triples and quadruplets, respectively. A small metallic gate (top gate), deposited in the centre of the interferometer bulk, formed an antidot (or a dot) when charged, thus introducing local quasiparticles at the perimeter of the (anti)dot. Surprisingly, such charging led to a dissociation of the 'bunched quasiparticles' and, thus, recovered the conventional flux periodicity set by the elementary charge of the quasiparticles. However, the shot-noise Fano factor (of each quantum point contact) consistently remained at F = nu, possibly due to the neutral modes accompanying the conjugated states. The two observations-bunching and debunching (or dissociation)-were not expected by current theories. Similar effects may arise in Jain's 'particle states' (at lower temperatures) and at even denominator fractional quantum Hall states20.
Original languageEnglish
Pages (from-to)922-927
Number of pages7
JournalNature
Volume642
Issue number8069
DOIs
Publication statusPublished Online - 25 Jun 2025

Funding

M.H. thanks Y. Ronen for fruitful discussions. D.F.M. acknowledges many illuminating conversations on quantum Hall interferometry with Y. Ronen. B.G. thanks A. K. Paul for his helpful comment that improved the device. M.L. thanks the Ariane de Rothschild Women Doctoral Program for their support. D.F.M. acknowledges the support of the Israel Science Foundation (Grant No. 2572/21) and the Deutsche Forschungsgemeinschaft (DFG) within the CRC network TR 183 (Project Grant No. 277101999). M.H. acknowledges the support of the European Research Council under the European Union's Horizon 2020 research and innovation programme (Grant Agreement No. 833078) and the support of the Israel Science Foundation (Grant No. 1510/22).

All Science Journal Classification (ASJC) codes

  • General

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