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Exclusonic Quasiparticles and Thermodynamics of Fractional Quantum Hall Liquids

Y. S. Wu·Y. Yu·Y. Hatsugai·M. Kohmoto
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Abstract

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 scheme, 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 exclusonic nature of the relevant quasiparticles. For magnetic properties, a paramagnetism-diamagnetism transition appears to be possible at finite temperature.

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Y. S. Wu, Y. Yu, Y. Hatsugai, M. Kohmoto. 1997-06-04. Exclusonic Quasiparticles and Thermodynamics of Fractional Quantum Hall Liquids. https://doi.org/10.1103/physrevb.57.9907

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