Physics – Condensed Matter
Scientific paper
1994-11-09
Physics
Condensed Matter
17 pages
Scientific paper
The thermodynamic of particles with intermediate statistics interpolating between Bose and Fermi statistics is adressed in the simple case where there is one quantum number per particle. Such systems are essentially one-dimensional. As an illustration, one considers the anyon model restricted to the lowest Landau level of a strong magnetic field at low temperature, the generalization of this model to several particles species, and the one dimensional Calogero model. One reviews a unified algorithm to compute the statistical mechanics of these systems. It is pointed out that Haldane's generalization of the Pauli principle can be deduced from the anyon model in a strong magnetic field at low temperature.
de Veigy Alain Dasnieres
Fr-91406 Orsay
IPN
Ouvry Stéphane
Physique Théorique Division de
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