Fermionic behavior of ideal anyons Journal Article


Author(s): Lundholm, Douglas; Seiringer, Robert
Article Title: Fermionic behavior of ideal anyons
Affiliation IST Austria
Abstract: We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter (Formula presented.). The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons.
Keywords: Lieb-Thirring inequality, Ideal anyon gas, Intermediate quantum statistics, Magnetic interaction
Journal Title: Letters in Mathematical Physics
ISSN: 1573-0530
Publisher: Springer  
Date Published: 2018-05-11
Start Page: epub ahead of print
Copyright Statement: CC BY 4.0
URL:
DOI: 10.1007/s11005-018-1091-y
Notes: Financial support from the Swedish Research Council, grant no. 2013-4734 (D. L.), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227, R. S.), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully acknowledged.
Open access: yes (OA journal)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer
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