DUALITY OF QUASI-PARTICLE GASES IN THE FRACTIONAL QUANTUM HALL-EFFECT

Quasiparticles of the fractional quantum Hall systems obey fractional (including mutual) exclusion statistics. In this letter we study the e ffects of exclusion statistics on thermal activation of quasiparticle pairs in the approximation of generalized ideal gas. The distribution function for thermally activated quasiparticles is found explicitly fo r the statistics matrix given by the composite fermion picture and the thermodynamic consequences are discussed analytically. In particular, at low temperatures, there is a quasielectron-quasihole duality in th e description of the system between two adjacent magic fillings.