Exclusonic Quasiparticles and Thermodynamics of Fractional Quantum Hall Liquids

Details Exclusonic Quasiparticles and Thermodynamics of Fractional Quantum Hall Liquids Exclusonic Quasiparticles and Thermodynamics of Fractional Quantum Hall Liquids

1997-06-04

arxiv.org/abs/cond-mat/9706030v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

latex209, REVTEX

Scientific paper

10.1103/PhysRevB.57.9907

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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