Volume 126, Number 2, April 2019
|Number of page(s)||6|
|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
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
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