Thermal activation of quasiparticles and thermodynamics of fractional quantum Hall liquids
citation_date
1998-04
Description
Quasielectrons and quasiholes in the fractional quantum Hall liquids obey fractional (including nontrivial mutual) exclusion statistics. Their statistics matrix can be determined from several possible state-counting schemes, involving different assumptions on statistical correlations. Thermal activation of quasiparticle pairs and thermodynamic properties of the fractional quantum Hall liquids near fillings 1/m (m odd) at low temperature are studied in the approximation of generalized ideal gas. The existence of hierarchical states in the fractional quantum Hall effect is shown to be a manifestation of the exclusionary nature of the relevant quasiparticles. For magnetic properties, a paramagnetism-diamagnetism transition appears to be possible at finite temperature.
Wu, Y. S., Yu, Y., Hatsugai, Y., & Kohmoto, M. (1998). Thermal activation of quasiparticles and thermodynamics of fractional quantum Hall liquids. Physical Review B - Condensed Matter and Materials Physics, 57(16), 9907-19.
