Duality of quasiparticle gases in the fractional quantum Hall effect
Institute for Solid State Physics,
University of Tokyo, Roppongi, Minato-ku, Tokyo 106, Japan
2 Department of Physics, University of Utah, Salt Lake City, UT 84112, USA
Accepted: 19 January 1998
Quasiparticles of the fractional quantum Hall systems obey fractional (including mutual) exclusion statistics. In this letter we study the effects 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 for 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 the description of the system between two adjacent magic fillings.
PACS: 74.10.+v – Occurrence, potential candidates / 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers) / 73.40.Hm – Quantum Hall effect (integer and fractional)
© EDP Sciences, 1998