Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges

Fuente: arXiv
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Autores principales: Iyer, Kishore, Ronetti, Flavio, Grémaud, Benoît, Martin, Thierry, Jonckheere, Thibaut, Rech, Jérôme
Formato: Preprint
Publicado: 2025
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author Iyer, Kishore
Ronetti, Flavio
Grémaud, Benoît
Martin, Thierry
Jonckheere, Thibaut
Rech, Jérôme
author_facet Iyer, Kishore
Ronetti, Flavio
Grémaud, Benoît
Martin, Thierry
Jonckheere, Thibaut
Rech, Jérôme
contents Fractional charges in the fractional quantum Hall effect were first observed via DC shot noise measurements of anyons tunneling at a quantum point contact (QPC). However, in scenarios with simultaneous tunneling of different types of charges at the QPC, the connection between DC shot noise and tunneling charge is less transparent. Photo-assisted shot noise (PASN), induced by periodic AC voltage, offers a promising alternative. Here, we investigate PASN in the hierarchical states of the fractional quantum Hall effect, where different types of charges are expected to tunnel concurrently at QPCs. In the particular case of the fractional quantum Hall state $ν= 2/3$, our analysis demonstrates that PASN can be employed as a robust tool to detect different tunneling charges, even when the tunneling amplitude of one type is significantly smaller compared to the other. We show that the features predicted by our calculations are still visible for typical values of temperature and frequency achieved in state-of-the-art experiments. Our general formalism can be used to compute PASN for general Abelian quantum Hall systems with multiple edge modes and charge types.
format Preprint
id arxiv_https___arxiv_org_abs_2502_15909
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
Iyer, Kishore
Ronetti, Flavio
Grémaud, Benoît
Martin, Thierry
Jonckheere, Thibaut
Rech, Jérôme
Mesoscale and Nanoscale Physics
Fractional charges in the fractional quantum Hall effect were first observed via DC shot noise measurements of anyons tunneling at a quantum point contact (QPC). However, in scenarios with simultaneous tunneling of different types of charges at the QPC, the connection between DC shot noise and tunneling charge is less transparent. Photo-assisted shot noise (PASN), induced by periodic AC voltage, offers a promising alternative. Here, we investigate PASN in the hierarchical states of the fractional quantum Hall effect, where different types of charges are expected to tunnel concurrently at QPCs. In the particular case of the fractional quantum Hall state $ν= 2/3$, our analysis demonstrates that PASN can be employed as a robust tool to detect different tunneling charges, even when the tunneling amplitude of one type is significantly smaller compared to the other. We show that the features predicted by our calculations are still visible for typical values of temperature and frequency achieved in state-of-the-art experiments. Our general formalism can be used to compute PASN for general Abelian quantum Hall systems with multiple edge modes and charge types.
title Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2502.15909