Microwave response of fractional quantum Hall droplets with quasiparticle tunneling

Fuente: arXiv
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Autores principales: Murabayashi, Fumihiro, Sano, Ryotaro, Ronetti, Flavio, Rech, Jérôme, Martin, Thierry, Jonckheere, Thibaut, Kato, Takeo
Formato: Preprint
Publicado: 2026
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author Murabayashi, Fumihiro
Sano, Ryotaro
Ronetti, Flavio
Rech, Jérôme
Martin, Thierry
Jonckheere, Thibaut
Kato, Takeo
author_facet Murabayashi, Fumihiro
Sano, Ryotaro
Ronetti, Flavio
Rech, Jérôme
Martin, Thierry
Jonckheere, Thibaut
Kato, Takeo
contents We theoretically study microwave absorption spectroscopy of fractional quantum Hall droplets in the presence of quasiparticle tunneling across a quantum point contact. This contact-free probe provides access to collective edge dynamics beyond conventional transport measurements. We develop a nonperturbative path-integral Monte Carlo approach that enables computation of the frequency-dependent response at finite temperature and for arbitrary droplet geometries, and benchmark the method against analytical results in the weak-tunneling regime. We find that tunneling produces measurable shifts and broadening of resonance peaks, with systematic dependence on tunneling strength and device geometry. Such shifts and broadenings are not obtained in perturbative treatments acting directly on the response function, but emerge when interaction-kernel effects are properly incorporated. Our results indicate experimentally accessible signatures of edge-mode interference and tunneling-induced renormalization of collective excitations, and support the use of microwave spectroscopy as a quantitative probe of quasiparticle dynamics in mesoscopic quantum Hall structures.
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id arxiv_https___arxiv_org_abs_2602_24116
institution arXiv
publishDate 2026
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spellingShingle Microwave response of fractional quantum Hall droplets with quasiparticle tunneling
Murabayashi, Fumihiro
Sano, Ryotaro
Ronetti, Flavio
Rech, Jérôme
Martin, Thierry
Jonckheere, Thibaut
Kato, Takeo
Mesoscale and Nanoscale Physics
We theoretically study microwave absorption spectroscopy of fractional quantum Hall droplets in the presence of quasiparticle tunneling across a quantum point contact. This contact-free probe provides access to collective edge dynamics beyond conventional transport measurements. We develop a nonperturbative path-integral Monte Carlo approach that enables computation of the frequency-dependent response at finite temperature and for arbitrary droplet geometries, and benchmark the method against analytical results in the weak-tunneling regime. We find that tunneling produces measurable shifts and broadening of resonance peaks, with systematic dependence on tunneling strength and device geometry. Such shifts and broadenings are not obtained in perturbative treatments acting directly on the response function, but emerge when interaction-kernel effects are properly incorporated. Our results indicate experimentally accessible signatures of edge-mode interference and tunneling-induced renormalization of collective excitations, and support the use of microwave spectroscopy as a quantitative probe of quasiparticle dynamics in mesoscopic quantum Hall structures.
title Microwave response of fractional quantum Hall droplets with quasiparticle tunneling
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2602.24116