Alain DASNIÈRES de VEIGY

arXiv1995

Comment on " Thermodynamics of a One- Dimensional Ideal Gas with fractional Exclusion Statistics "

In a recent letter -Phys. Rev. Lett. 73, 3331 (1995)-, the conclusion was reached that, in the one-dimensional Calogero model, only the second virial coefficient is affected by the statistical parameter $α$, where $α$ is related to the coupling constant $κ/ x_{ij}^2$ of the Calogero interaction by $κ=α(α+1)$. We argue that it is not so, i.e. all virial coefficients are affected, if the thermodynamic limit is properly taken.

cond-mat↗

arXiv1993

Equation of State of an Anyon Gas in a Strong Magnetic Field

The statistical mechanics of an anyon gas in a magnetic field is addressed. An harmonic regulator is used to define a proper thermodynamic limit. When the magnetic field is sufficiently strong, only exact $N$-anyon groundstates, where anyons occupy the lowest Landau level, contribute to the equation of state. Particular attention is paid to the interval of definition of the statistical parameter $α\in[-1,0]$ where a gap exists. Interestingly enough, one finds that at the critical filling $ν=-{1/α}$ where the pressure diverges, the external magnetic field is entirely screened by the flux tubes carried by the anyons.

hep-th↗