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Statistical interparticle potential of an ideal gas of non-Abelian anyons
KTH, School of Engineering Sciences (SCI), Theoretical Physics. NORDITA.ORCID iD: 0000-0002-4024-2704
2013 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 46, no 27, 275001- p.Article in journal (Refereed) Published
Abstract [en]

We determine and study the statistical interparticle potential of an ideal system of non-Abelian Chern-Simons (NACS) particles, comparing our results with the corresponding results of an ideal gas of Abelian anyons. In the Abelian case, the statistical potential depends on the statistical parameter alpha; it has 'quasi-bosonic' behavior for 0 < alpha < 1/2 (non-monotonic with a minimum) and 'quasi-fermionic' behavior for 1/2 <= alpha < 1 (monotonically decreasing without a minimum). In the non-Abelian case, the behavior of the statistical potential depends on the Chern-Simons coupling and the isospin quantum number: as a function of these two parameters, a phase diagram with quasi-bosonic, quasi-fermionic and bosonic-like regions is obtained and investigated. Finally, using the obtained expression for the statistical potential, we compute the second virial coefficient of the NACS gas, which correctly reproduces the results available in the literature.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2013. Vol. 46, no 27, 275001- p.
Keyword [en]
Chern-Simons Particles, Mechanics, Quantization, State
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-124953DOI: 10.1088/1751-8113/46/27/275001ISI: 000320758400003Scopus ID: 2-s2.0-84879561636OAI: oai:DiVA.org:kth-124953DiVA: diva2:638768
Note

QC 20130802

Available from: 2013-08-02 Created: 2013-08-02 Last updated: 2017-12-06Bibliographically approved

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Mancarella, Francesco

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