Vol. 10, No. 5, 2017

Download this article
Download this article For screen
For printing
Recent Issues

Volume 14
Issue 2, 323–666
Issue 1, 1–322

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1948-206X (e-only)
ISSN: 2157-5045 (print)
Author Index
To Appear
 
Other MSP Journals
This article is available for purchase or by subscription. See below.
Local density approximation for the almost-bosonic anyon gas

Michele Correggi, Douglas Lundholm and Nicolas Rougerie

Vol. 10 (2017), No. 5, 1169–1200
Abstract

We study the minimizers of an energy functional with a self-consistent magnetic field, which describes a quantum gas of almost-bosonic anyons in the average-field approximation. For the homogeneous gas we prove the existence of the thermodynamic limit of the energy at fixed effective statistics parameter, and the independence of such a limit from the shape of the domain. This result is then used in a local density approximation to derive an effective Thomas–Fermi-like model for the trapped anyon gas in the limit of a large effective statistics parameter (i.e., “less-bosonic” anyons).

PDF Access Denied

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/apde

We have not been able to recognize your IP address 34.239.150.57 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
mean-field energy, anyons, fractional statistics, Thomas–Fermi theory, magnetic Schrödinger operator
Mathematical Subject Classification 2010
Primary: 35Q40, 81V70, 81S05, 46N50
Milestones
Received: 3 November 2016
Revised: 3 March 2017
Accepted: 3 April 2017
Published: 1 July 2017
Authors
Michele Correggi
Dipartimento di Matematica “G. Castelnuovo”
Università degli Studi di Roma “La Sapienza”
P. le Aldo Moro, 5
00185 Rome
Italy
Douglas Lundholm
KTH Royal Institute of Technology
Department of Mathematics
SE-100 44 Stockholm
Sweden
Nicolas Rougerie
CNRS & Université Grenoble Alpes
LPMMC (UMR 5493)
B.P. 166
38042 Grenoble
France