Charge and statistics of lattice quasiholes from density measurements
Elia Macaluso (Università di Trento, Italy)
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.