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

@article{Lin2014RecentEP, title={Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene}, author={Xi Lin and Rui-Rui Du and Xincheng Xie}, journal={National Science Review}, year={2014}, volume={1}, pages={564-579} }

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…

## 27 Citations

Nonlinear transport of graphene in the quantum Hall regime

- Physics
- 2016

We have studied the breakdown of the integer quantum Hall (QH) effect with fully broken symmetry, in an ultra-high mobility graphene device sandwiched between two single crystal hexagonal boron…

Coulomb-dominated oscillations in a graphene quantum Hall Fabry–Pérot interferometer

- Physics
- 2019

The electronic Fabry-Pérot interferometer operating in the quantum Hall regime may be a promising tool for probing edge state interferences and studying the non-Abelian statistics of fractionally…

Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states

- Physics
- 2020

The spin-polarized even-denominator fractional quantum Hall (FQH) states in the second Landau level (LL), i.e. 5/2 and 7/2, may possess novel quasi-particle excitations obeying non-Abelian…

Novel Probes of Topological Order in the Quantum Hall Effect

- Physics
- 2017

of “Novel Probes of Topological Order in the Quantum Hall Effect” by Philip Zucker, Ph.D., Brown University, May 2012 The quantum Hall effect is a marvelous thing, a microcosm of all that is strange…

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- Physics, ChemistryPhysical chemistry chemical physics : PCCP
- 2017

TheHall effects, especially the integer, fractional and anomalous quantum Hall effects, have been addressed using Eyring's rate process theory and free volume concept and the obtained Hall conductivity is clearly quantized.

Competing ν = 5/2 fractional quantum Hall states in confined geometry

- Physics, MedicineProceedings of the National Academy of Sciences
- 2016

Using measurements of tunneling between edge states, it is suggested that both the Abelian and non-Abelian states can be stable in the same device but under different conditions, and suggests that there is an intrinsic non- Abelian 5/2 ground state but that the appropriate confinement is necessary to maintain it.

Magnetic induction dependence of Hall resistance in Fractional Quantum Hall Effect

- Medicine, PhysicsScientific Reports
- 2018

A model for the Hall resistance as a function of magnetic induction, chemical potential and temperature is constructed and shows that the Fermi liquid theory is valid for FQHE.

Gate-Controlled Transmission of Quantum Hall Edge States in Bilayer Graphene.

- Materials Science, PhysicsPhysical review letters
- 2018

These experiments demonstrate the feasibility to controllably manipulate edge states in bilayer graphene, thus opening the door to more complex experiments, and the backscattering rate is continuously varied from 0 to close to 1, with fractional quantized values corresponding to the sequential completeBackscattering of individual modes.

Quantum oscillations in cuprates and Cooper pairing in half filled Landau level

- Physics
- 2016

Author(s): Wang, Zhiqiang | Advisor(s): Chakravarty, Sudip | Abstract: The observation of quantum oscillations in hole under-doped cuprate is a big breakthrough to reveal its normal state nature. To…

Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures

- PhysicsFractional Quantum Hall Effects
- 2020

The use of ultra-low temperature cooling and of high hydrostatic pressure techniques has significantly expanded our understanding of the two-dimensional electron gas confined to GaAs/AlGaAs…

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