Risultati scientifici

Ring-shaped fractional quantum Hall liquids with hard-wall potentials

Anno: 2018

Autori: Macaluso E., Carusotto I.

Affiliazione autori: INO, CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy

Abstract: We study the physics of nu = 1/2 bosonic fractional quantum Hall droplets confined in a ring-shaped region delimited by two concentric cylindrically symmetric hard-wall potentials. Trial wave functions based on an extension of the Jack polynomial formalism including two different chiral edges are proposed and validated for a wide range of confinement potentials in terms of their excellent overlap with the eigenstates numerically found by exact diagonalization. In the presence of a single repulsive potential centered in the origin, a recursive structure in the many-body spectra and a massively degenerate ground-state manifold are found. The addition of a second hard-wall potential confining the fractional quantum Hall droplet from the outside leads to a nondegenerate ground state containing a well-defined number of quasiholes at the center and, for suitable potential parameters, to a clear organization of the excitations on the two edges. The utility of this ring-shaped configuration in view of theoretical and experimental studies of subtle aspects of fractional quantum Hall physics is outlined.

Giornale/Rivista: PHYSICAL REVIEW A

Volume: 98 (1)      Da Pagina: 013605-1  A: 013605-17

Parole chiavi: edge states; photons;
DOI: 10.1103/PhysRevA.98.013605

Citazioni: 4
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2021-12-05
Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
Link per visualizzare la scheda su IsiWeb: Clicca qui
Link per visualizzare la citazioni su IsiWeb: Clicca qui

This site uses cookies. If you decide to continue browsing we consider that you accept their use. For more information about cookies and how to delete them please read our Info Policy on cookies use.
Read more