Thermal activation of exclusonic quasiparticles in the fractional quantum Hall effect

TL;DR

This paper investigates how fractional exclusion statistics influence the thermal activation of quasiparticles in fractional quantum Hall systems, providing explicit distribution functions and analyzing low-temperature dualities.

Contribution

It derives explicit distribution functions for quasiparticles obeying fractional exclusion statistics within the composite fermion framework and discusses their thermodynamic implications.

Findings

Explicit distribution functions for quasiparticles are obtained.

Low-temperature duality between different quantum Hall states is demonstrated.

Thermodynamic consequences of exclusion statistics are analytically discussed.

Abstract

Quasiparticles of the fractional quantum Hall systems obey fractional (including mutual) exclusion statistics. In this note 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 $\nu(m,p)\equiv m/(2pm+1)$ and $\nu(m+1,p)$.