Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série LPTMS
Domaines physics
Date Mercredi 18 Septembre 2019
Heure 11:00
Institut LPTMS
Salle Salle de séminaire, LPTMS
Nom de l'orateur Macaluso
Prenom de l'orateur Elia
Addresse email de l'orateur
Institution de l'orateur Università di Trento, Italy
Titre Charge and statistics of lattice quasiholes from density measurements
Résumé In the last decades, the lattice counterparts of the fractional quantum Hall effect have attracted strong attention. These systems, generally known as fractional Chern insulators (FCIs), support elementary bulk excitations carrying fractional charge and anyonic statistics. In this context, I will first introduce the FCI state at filling ν = 1/2 described by the bosonic Harper-Hofstadter model with hard-core interactions. Then, I will show how the aformentioned bulk excitations can be studied by means of a Tree Tensor Network (TTN) technique and, in particular, how the TTN ansatz for the many-body state allows us to study relatively large samples (up to N=18 particles on a 16×16 lattice), with the experimentally relevant open boundary conditions. Finally, I will explain how, not only the fractional charge, but also the anyonic statistics of the FCI excitations can be obtained through simple density measurements.
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