Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat
Date Lundi 16 Octobre 2023
Heure 13:30
Institut LPENS
Salle Salle Théodule Ribot, Bâtiment Jaures
Nom de l'orateur Mora
Prenom de l'orateur Christophe
Addresse email de l'orateur
Institution de l'orateur MPQ Paris
Titre Anyonic braiding on the edge of a fractional quantum Hall state
Résumé Under strong magnetic fields, electrons that are confined to two spatial dimensions can ex-hibit a fractional quantum Hall state where the elementary particles carry only a fraction of the electron charge. These exotic excitations, called anyons, moreover behave under the in-terchange of two individuals neither as fermions nor as bosons but are characterized instead by a non-trivial exchange phase. The experimental proof of these anyons and their exchange phase was performed only recently, in 2020. Recent experiments have notably demonstrated that a quantum point contact on the edge channels of a fractional quantum Hall (Laughlin) state is able to reveal the anyonic phase from noise measurements. After introducing anyons in the fractional quantum Hall effect, we will explore their imprint along the edge of the system and their manipulation using quantum constrictions. Focusing on the tunneling of anyons at a quantum point contact, we will show how this process is partly governed by a 1+1 space-time braiding mechanism between anyons. This mechanism mirrors the conventional anyonic braiding observed when a quasiparticle adiabatically en-circles another. The braiding phase can then be extracted from correlated noise measure-ments at the output of series of quantum point contacts where the non-linearity of tunneling also plays a significant role. We shall also discuss Andreev tunneling at a quantum con-striction, which involves the conversion of anyons to electrons or between different types of anyons. This process leaves a distinctive signal on the cross-correlation, and has also re-ceived experimental confirmation.
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