# Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering

@article{Guinea2010EnergyGA, title={Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering}, author={Francisco Guinea and Mikhail I. Katsnelson and Andre K. Geim}, journal={Nature Physics}, year={2010}, volume={6}, pages={30-33} }

Owing to the fact that graphene is just one atom thick, it has been suggested that it might be possible to control its properties by subjecting it to mechanical strain. New analysis indicates not only this, but that pseudomagnetic behaviour and even zero-field quantum Hall effects could be induced in graphene under realistic amounts of strain.

## 1,265 Citations

Pseudo-magnetic quantum Hall effect in oscillating graphene

- PhysicsSolid State Communications
- 2019

When a graphene layer is stressed, the strain alters the phase an electron accumulates hopping between sites in a way that can be modeled as arising from a pseudo-magnetic vector potential. We…

Strain induced shift of Dirac points and the pseudo-magnetic field in graphene.

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
- 2011

We prove that the strain induced shift of the Dirac points in graphene is a curl field if the strain is nonuniform. This curl field provides a geometrical explanation of the strain induced…

Density of states of Dirac–Landau levels in a gapped graphene monolayer under strain gradient

- Physics
- 2017

We study a gapped graphene monolayer in a combination of uniform magnetic field and strain-induced uniform pseudomagnetic field. The presence of two fields completely removes the valley degeneracy.…

Mechanical strain induced valley-dependent quantum magnetotransport of Dirac particles in graphene

- Physics
- 2015

Abstract We have explored the mechanical strain effects on the magnetotransport in graphene with a 1D electrostatic periodic potential in the presence of a perpendicular magnetic field. We find that,…

Electronic structure of graphene under periodic uniaxial tensile strain

- Materials Science
- 2020

Using density functional theory with the generalized gradient approximation, we investigate the electronic structure of graphene with uniaxial tensile strain in terms of its direction and…

Time-dependent strain in graphene

- PhysicsThe European Physical Journal B
- 2018

Abstract
We will analyse the effect of time-dependent strain on a sheet of graphene by using the field theory approach. It will be demonstrated that in the continuum limit, such a strain will induce…

Band structure and gaps of triangular graphene superlattices

- Physics, MedicinePhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2010

The general properties of long wavelength triangular graphene superlattices are studied. It is shown that Dirac points with and without gaps can arise at a number of high-symmetry points of the…

Gap opening in graphene by simple periodic inhomogeneous strain

- Physics
- 2011

is considered a strong candidate for post-siliconelectronic devices. To meet this expectation however it iscrucial to be able to open up a band gap at the Fermi…

Quantum Hall Response to Time-Dependent Strain Gradients in Graphene.

- Physics, MedicinePhysical review letters
- 2020

This work proposes to complement the pseudomagnetic field by a pseudoelectric field, generated by a time-dependent oscillating stress applied to a graphene ribbon, which allows for an (approximately) quantized Hall current that is unaffected by screening due to diffusion currents.

Mechanical control over valley magnetotransport in strained graphene

- Physics
- 2016

Abstract Recent experiments report that the graphene exhibits Landau levels (LLs) that form in the presence of a uniform strain pseudomagnetic field with magnitudes up to hundreds of tesla. We…

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