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Statistical interparticle potential of an ideal gas of non-Abelian anyons

Mancarella, Francesco
•
Trombettoni, Andrea
•
Mussardo, Giuseppe
2013
  • journal article

Periodico
JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
Abstract
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.
DOI
10.1088/1751-8113/46/27/275001
WOS
WOS:000320758400003
SCOPUS
2-s2.0-84879561636
Archivio
http://hdl.handle.net/11368/2956782
Diritti
metadata only access
Soggetti
  • anyons

  • geometrical potential...

  • virial coefficients

Web of Science© citazioni
2
Data di acquisizione
Jun 9, 2022
Scopus© citazioni
2
Data di acquisizione
Jun 14, 2022
Vedi dettagli
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