Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene

TL;DR

This paper reviews recent experimental advances in the fractional quantum Hall effect, focusing on the 5/2 filling state and the emergence of FQHE phenomena in graphene, highlighting new materials and potential quantum computing applications.

Contribution

It provides a comprehensive overview of recent experimental progress in FQHE at 5/2 and in graphene, emphasizing new materials and technological developments.

Findings

Progress in observing FQHE in graphene

Enhanced understanding of 5/2 state properties

Potential applications in topological quantum computation

Abstract

The phenomenon of fractional quantum Hall effect (FQHE) was first experimentally observed 33 years ago. FQHE involves strong Coulomb interactions and correlations among the electrons, which leads to quasiparticles with fractional elementary charge. Three decades later, the field of FQHE is still active with new discoveries and new technical developments. A significant portion of attention in FQHE has been dedicated to filling factor 5/2 state, for its unusual even denominator and possible application in topological quantum computation. Traditionally FQHE has been observed in high mobility GaAs heterostructure, but new materials such as graphene also open up a new area for FQHE. This review focuses on recent progress of FQHE at 5/2 state and FQHE in graphene.