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.

17 pages, 13 figures

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• Imaging Transport Resonances in the Quantum Hall Effect
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Mobility versus quality in 2D semiconductor structures
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• Increasing the ν = 5 / 2 gap energy: an analysis of MBE growth parameters
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• "Wormhole" geometry for entrapping topologically-protected qubits in non-Abelian quantum Hall states and probing them with voltage and noise measurements
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Spatial gradient of dynamic nuclear spin polarization induced by breakdown of quantum Hall effect

Cited by in corpus (26)

• Competing ν= 5/2 fractional quantum Hall states in confined geometry
• De-Pinning Transition of Bubble Phases in a High Landau Level
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Interface and Phase Transition between Moore-Read and Halperin 331 Fractional Quantum Hall States: Realization of Chiral Majorana Fermion
• Aharonov-Bohm oscillations in bilayer graphene edge state Fabry-Pérot interferometers
• Piezo-driven sample rotation system with ultra-low electron temperature
• Surface magnetism in a chiral d-wave superconductor with hexagonal symmetry
• Probing quantum phases in ultra-high-mobility two-dimensional electron systems using surface acoustic waves
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Low-temperature environments for quantum computation and quantum simulation
• Anomalous quantized plateaus in two-dimensional electron gas with gate confinement
• Nonlinear Transport of Graphene in the Quantum Hall Regime
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
• Probing the fractional quantum Hall phases in valley-layer locked bilayer MoS${}_2$
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Evidence for Topological Protection Derived from Six-Flux Composite Fermions
• Phase transitions and topological properties of the 5/2 quantum Hall states with strong Landau-level mixing
• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
• Simultaneous Measurement of Resistively and Optically Detected Nuclear Magnetic Resonance in the $\nu =2/3$ Fractional Quantum Hall Regime
• Pseudospin Polarization of Composite Fermions under Uniaxial Strain
• Fractional Quantum Hall Filling Factors from String Theory using Toric Geometry
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures
• Cascade of fractional quantum Hall states in 2D system