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

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