| Issue |
EPL
Volume 126, Number 2, April 2019
|
|
|---|---|---|
| Article Number | 20005 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/126/20005 | |
| Published online | 07 June 2019 | |
Vortex patterns in the almost-bosonic anyon gas
1 Dipartimento di Matematica “G. Castelnuovo”, Università degli Studi di Roma “La Sapienza” P.le Aldo Moro, 5, I-00185, Rome, Italy
2 Institut de Mathématiques de Toulouse, Université Paul Sabatier - 118 route de Narbonne, F-31062 Toulouse Cedex 9, France
3 KTH Royal Institute of Technology, Department of Mathematics - SE-100 44 Stockholm, Sweden
4 Université Grenoble- Alpes & CNRS, LPMMC (UMR 5493) - B.P. 166, F-38042 Grenoble, France
(a) michele.correggi@gmail.com
(b) Romain.Duboscq@math.univ-toulouse.fr
(c) dogge@math.kth.se
(d) nicolas.rougerie@lpmmc.cnrs.fr
Received: 7 March 2019
Accepted: 6 May 2019
We study theoretically and numerically the ground state of a gas of 2D Abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, perturbatively around the bosonic end. This leads to a mean-field energy functional, whose ground state displays vortex lattices similar to those found in rotating Bose-Einstein condensates. A crucial difference is, however, that the vortex density is proportional to the underlying matter density of the gas.
PACS: 05.30.Pr – Fractional statistics systems (anyons, etc.) / 03.75.Hh – Static properties of condensates; thermodynamical, statistical, and structural properties
© EPLA, 2019
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.