# Even-denominator fractional quantum Hall states in bilayer graphene

@article{Li2017EvendenominatorFQ, title={Even-denominator fractional quantum Hall states in bilayer graphene}, author={J. I. A. Li and C. K. Tan and S. Chen and Yong Zeng and Takashi Taniguchi and K. Watanabe and James C. Hone and Cory R. Dean}, journal={Science}, year={2017}, volume={358}, pages={648 - 652} }

Exotic states pop up in bilayer graphene Particles with exotic quantum statistics are expected to be able to support an especially appealing flavor of quantum computing (QC) called topological QC. A particular fractional quantum Hall state in the semiconductor GaAs has long been thought to possess excitations with these favorable properties, but proving so has turned out to be tricky. Working with bilayer graphene instead of GaAs, Li et al. found four states that appear to be consistent with…

## 77 Citations

### Evidence for a new even-denominator fractional quantum Hall state in graphene

- Physics
- 2018

A remarkable development in the field of the fractional quantum Hall effect has been the proposal that the 5/2 state observed in the Landau level with orbital index $n = 1$ of two-dimensional…

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- 2018

An important development in the field of the fractional quantum Hall effect was the proposal that the 5/2 state observed in the Landau level with orbital index n = 1 of two-dimensional electrons in a…

### Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene

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A two-dimensional electron system placed in a magnetic field develops Landau levels, where strong Coulomb interactions lead to the appearance of many-body correlated ground states. Quantum numbers…

### Even-denominator fractional quantum Hall states at an isospin transition in monolayer graphene

- PhysicsNature Physics
- 2018

In monolayer graphene, the two inequivalent sublattices of carbon atoms combine with the electron spin to give electrons a nearly fourfold degenerate internal isospin. At high magnetic fields, the…

### Odd- and even-denominator fractional quantum Hall states in monolayer WSe2

- PhysicsNature Nanotechnology
- 2020

The results suggest that the 2D semiconductors can provide an experimental platform that closely resembles idealized theoretical models in the quantum Hall regime, and compressibility measurements on high-quality monolayer WSe2 samples enable the observation of fractional quantum Hall states in the lowest Landau levels.

### Incompressible even denominator fractional quantum Hall states in the zeroth Landau level of monolayer graphene

- PhysicsPhysical Review B
- 2018

Incompressible even denominator fractional quantum Hall states at fillings $\nu = \pm \frac{1}{2}$ and $\nu = \pm \frac{1}{4}$ have been recently observed in monolayer graphene. We use a Chern-Simons…

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- PhysicsScience Advances
- 2019

The universal topological order in graphene quantum Hall is demonstrated by measuring quantum limit of thermal conductance by using sensitive noise thermometry on hexagonal boron-nitride encapsulated graphene devices, gated by either SiO2/Si or graphite back gate.

### Topological states in double monolayer graphene

- PhysicsSciPost Physics
- 2022

Motivated by the experiments on double monolayer graphene that observe a variety of fractional quantum Hall states [Liu et al., Nat. Phys. 15, 893 (2019); Li et al., Nat. Phys. 15, 898 (2019)], we…

### Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene

- PhysicsPhysical Review B
- 2022

The electron-electron interaction in the Landau levels of bilayer graphene is markedly different from that of conventional semiconductors such as GaAs. We show that in the zeroth Landau level of…

### Optical Sensing of Fractional Quantum Hall Effect in Graphene

- PhysicsNano letters
- 2022

Graphene and its heterostructures provide a unique and versatile playground for explorations of strongly correlated electronic phases, ranging from unconventional fractional quantum Hall (FQH) states…

## References

SHOWING 1-10 OF 47 REFERENCES

### Fractional Quantum Hall States in Bilayer Graphene Probed by Transconductance Fluctuations.

- PhysicsNano letters
- 2015

The observed stability of both odd and even denominator fractional QH states is very sensitive to local transverse electric fields in bilayer graphene, and the particle-hole symmetric state at filling 1/2 is detected.

### Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene.

- PhysicsNano letters
- 2017

It is demonstrated the feasibility of a "parton" fractional quantum Hall (FQH) state, which supports non-Abelian particles without the usual topological superconductivity, and predicted that a transverse electric field can induce a topological quantum phase transition between two distinct non- Abelian FQH states.

### Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene.

- PhysicsNano letters
- 2014

Low-temperature magneto-transport in recently developed, high-quality multiterminal suspended bilayer graphene devices, enabling the independent measurement of the longitudinal and transverse resistance, offers new possibilities to explore the microscopic nature of even-denominator fractional quantum Hall effect.

### New non-Abelian fractional quantum Hall state in multilayer graphene

- Physics
- 2016

The possibility that certain fractional quantum Hall (FQH) states can support non-Abelian anyons, which transform according to a non-Abelian representation of the braid group, has caused tremendous…

### Tunable fractional quantum Hall phases in bilayer graphene

- PhysicsScience
- 2014

Fractional QHE states in BLG that show phase transitions that can be tuned by a transverse electric field are reported, providing a model platform with which to study the role of symmetry-breaking in emergent states with topological order.

### Tunable interacting composite fermion phases in a half-filled bilayer-graphene Landau level

- PhysicsNature
- 2017

Graphene is established as a pristine and tunable experimental platform for studying the interplay between topology and quantum criticality, and for detecting non-Abelian qubits.

### Fractional Quantum Hall Effects in Graphene and Its Bilayer

- Physics
- 2009

Single-layer and Bilayer of graphene are new classes of two-dimensional electron systems with unconventional band structures and valley degrees of freedom. The ground states and excitations in the…

### Broken-Symmetry States in Doubly Gated Suspended Bilayer Graphene

- PhysicsScience
- 2010

The underlying order of the various broken-symmetry states in bilayer graphene suspended between top and bottom gate electrodes was investigated and the order parameter was deduced by controllably breaking the spin and sublattice symmetries.

### Controllable driven phase transitions in fractional quantum Hall states in bilayer graphene.

- PhysicsPhysical review letters
- 2010

Here we report from our theoretical studies that, in biased bilayer graphene, one can induce phase transitions from an incompressible fractional quantum Hall state to a compressible state by tuning…