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

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.

arXiv comment17 pages, 13 figures

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• Graviton Chirality and Topological Order in the Half-filled Landau Level
• Competing ν= 5/2 fractional quantum Hall states in confined geometry
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Confining massless Dirac particles in two-dimensional curved space
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• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
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• Piezo-driven sample rotation system with ultra-low electron temperature
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• Nonlinear Transport of Graphene in the Quantum Hall Regime
• Neutral excitation and bulk gap of the Fractional Quantum Hall liquids in disk geometry
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
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• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
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• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures