Fractional charge and fractional statistics in the quantum Hall effects
D E Feldman, Bertrand I Halperin
Abstract
Quasiparticles with fractional charge and fractional statistics are key features of the fractional quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics and the ways in which these properties may be observed. In addition to theoretical foundations, we review the present status of the experiments in the area. We also discuss the notions of non-Abelian statistics and attempts to find experimental evidence for the existence of non-Abelian quasiparticles in certain quantum Hall systems.
Topics & Concepts
PhysicsFractional quantum Hall effectQuasiparticleQuantum Hall effectCharge (physics)Quantum mechanicsQuantum spin Hall effectQuantumComposite fermionQuantum statistical mechanicsHall effectStatisticsQuantum electrodynamicsTheoretical physicsQuantum and electron transport phenomenaAdvancements in Semiconductor Devices and Circuit DesignTopological Materials and Phenomena