Exclusonic Quasiparticles and Thermodynamics of Fractional Quantum Hall Liquids

TL;DR

This paper investigates the fractional statistics of quasiparticles in fractional quantum Hall liquids and explores their thermodynamic behavior, revealing hierarchical states and potential magnetic transitions.

Contribution

It introduces a framework for determining exclusion statistics matrices and analyzes thermodynamics of quasiparticles near filling factor 1/m, highlighting the role of exclusonic nature.

Findings

Quasiparticles obey fractional exclusion statistics.

Hierarchical states are linked to exclusonic quasiparticles.

A possible paramagnetism-diamagnetism transition at finite temperature.

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.