ON THERMODYNAMICS OF MULTISPECIES ANYONS
Serguei B. Isakov, Stefan Mashkevich, St\'ephane Ouvry (Medical, Radiology Research Center, Obninsk, Russia, Institute for Theoretical, Physics, Kiev, Ukraine, Division de Physique Th\'eorique, IPN, Orsay)

TL;DR
This paper investigates the thermodynamics of multispecies anyons, focusing on their cluster and virial coefficients, especially in the lowest Landau level under strong magnetic fields, providing microscopic proofs and statistical formulations.
Contribution
It offers a microscopic proof of the equation of state for multispecies anyons and formulates the problem using single-state statistical distributions in strong magnetic fields.
Findings
Microscopic proof of the equation of state for multispecies anyons
Formulation of the problem in terms of single-state distributions
Analysis of cluster and virial coefficients in the context of strong magnetic fields
Abstract
We address the problem of multispecies anyons, i.e. particles of different species whose wave function is subject to anyonlike conditions. The cluster and virial coefficients are considered. Special attention is paid to the case of anyons in the lowest Landau level of a strong magnetic field, when it is possible (i) to prove microscopically the equation of state, in particular in terms of Aharonov-Bohm charge-flux composite systems, and (ii) to formulate the problem in terms of single-state statistical distributions.
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