Signature of anyonic statistics in the integer quantum Hall regime

Fuente: arXiv
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Main Authors: Glidic, P., Petkovic, I., Piquard, C., Aassime, A., Cavanna, A., Jin, Y., Gennser, U., Mora, C., Kovrizhin, D., Anthore, A., Pierre, F.
Format: Preprint
Published: 2024
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author Glidic, P.
Petkovic, I.
Piquard, C.
Aassime, A.
Cavanna, A.
Jin, Y.
Gennser, U.
Mora, C.
Kovrizhin, D.
Anthore, A.
Pierre, F.
author_facet Glidic, P.
Petkovic, I.
Piquard, C.
Aassime, A.
Cavanna, A.
Jin, Y.
Gennser, U.
Mora, C.
Kovrizhin, D.
Anthore, A.
Pierre, F.
contents Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extends the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with first convincing anyon signatures recently observed through interferometry and cross-correlations of colliding beams. However, the fractional regime is rife with experimental complications, such as an anomalous tunneling density of states, which impede the manipulation of anyons. Here we show experimentally that the canonical integer quantum Hall regime can provide a robust anyon platform. Exploiting the Coulomb interaction between two co-propagating quantum Hall channels, an electron injected into one channel splits into two fractional charges behaving as abelian anyons. Their unconventional statistics is revealed by negative cross-correlations between dilute quasiparticle beams. Similarly to fractional quantum Hall observations, we show that the negative signal stems from a time-domain braiding process, here involving the incident fractional quasiparticles and spontaneously generated electron-hole pairs. Beyond the dilute limit, a theoretical understanding is achieved via the edge magnetoplasmon description of interacting integer quantum Hall channels. Our findings establish that, counter-intuitively, the integer quantum Hall regime provides a platform of choice for exploring and manipulating quasiparticles with fractional quantum statistics.
format Preprint
id arxiv_https___arxiv_org_abs_2401_06069
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Signature of anyonic statistics in the integer quantum Hall regime
Glidic, P.
Petkovic, I.
Piquard, C.
Aassime, A.
Cavanna, A.
Jin, Y.
Gennser, U.
Mora, C.
Kovrizhin, D.
Anthore, A.
Pierre, F.
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extends the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with first convincing anyon signatures recently observed through interferometry and cross-correlations of colliding beams. However, the fractional regime is rife with experimental complications, such as an anomalous tunneling density of states, which impede the manipulation of anyons. Here we show experimentally that the canonical integer quantum Hall regime can provide a robust anyon platform. Exploiting the Coulomb interaction between two co-propagating quantum Hall channels, an electron injected into one channel splits into two fractional charges behaving as abelian anyons. Their unconventional statistics is revealed by negative cross-correlations between dilute quasiparticle beams. Similarly to fractional quantum Hall observations, we show that the negative signal stems from a time-domain braiding process, here involving the incident fractional quasiparticles and spontaneously generated electron-hole pairs. Beyond the dilute limit, a theoretical understanding is achieved via the edge magnetoplasmon description of interacting integer quantum Hall channels. Our findings establish that, counter-intuitively, the integer quantum Hall regime provides a platform of choice for exploring and manipulating quasiparticles with fractional quantum statistics.
title Signature of anyonic statistics in the integer quantum Hall regime
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2401.06069