Statistical mechanics of an ideal gas of nonAbelian anyons
Abstract
We study the thermodynamical properties of an ideal gas of nonAbelian ChernSimons particles and we compute the second virial coefficient, considering the effect of general softcore boundary conditions for the twobody wavefunction at zero distance. The behaviour of the second virial coefficient is studied as a function of the ChernSimons coupling, the isospin quantum number and the hardcore parameters. Expressions for the main thermodynamical quantities at the lower order of the virial expansion are also obtained: we find that at this order the relation between the internal energy and the pressure is the same found (exactly) for 2D Bose and Fermi ideal gases. A discussion of the comparison of obtained findings with available results in literature for systems of hardcore nonAbelian ChernSimons particles is also supplied.
 Publication:

Nuclear Physics B
 Pub Date:
 February 2013
 DOI:
 10.1016/j.nuclphysb.2012.10.020
 arXiv:
 arXiv:1204.6656
 Bibcode:
 2013NuPhB.867..950M
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 Submitted version