# Band structures of bilayer graphene superlattices.

@article{Killi2011BandSO, title={Band structures of bilayer graphene superlattices.}, author={Matthew Killi and Si Wu and Arun Paramekanti}, journal={Physical review letters}, year={2011}, volume={107 8}, pages={ 086801 } }

We formulate a low energy effective Hamiltonian to study superlattices in bilayer graphene (BLG) using a minimal model which supports quadratic band touching points. We show that a one dimensional (1D) periodic modulation of the chemical potential or the electric field perpendicular to the layers leads to the generation of zero-energy anisotropic massless Dirac fermions and finite energy Dirac points with tunable velocities. The electric field superlattice maps onto a coupled chain model…

## 38 Citations

Graphene: Kinks, Superlattices, Landau levels, and Magnetotransport

- Physics
- 2012

We review recent work on superlattices in monolayer and bilayer graphene. We highlight the role of the quasiparticle chirality in generating new Dirac fermion modes with tunable anisotropic…

Electronic band structure of magnetic bilayer graphene superlattices

- Materials Science
- 2014

Electronic band structure of the bilayer graphene superlattices with δ-function magnetic barriers and zero average magnetic flux is studied within the four-band continuum model, using the transfer…

Touching points in the energy band structure of bilayer graphene superlattices.

- Materials Science, PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2014

The energy band structure of the bilayer graphene superlattices with zero-averaged periodic δ-function potentials are studied within the four-band continuum model using the transfer matrix method and it was shown that for these finite-energy touching points the dispersion is direction-dependent in the sense that it is linear or parabolic in the direction parallel or perpendicular to thesuperlattice direction.

Electronic band gaps and transport properties in aperiodic bilayer graphene superlattices of Thue-Morse sequence

- Physics
- 2013

We investigate electronic band structure and transport properties in bilayer graphene superlattices of Thue-Morse sequence. It is interesting to find that the zero-k¯ gap center is sensitive to…

Tunable superlattice in graphene to control the number of Dirac points.

- Physics, MedicineNano letters
- 2013

A lateral superlattice is created in a graphene device with a tunable barrier height using a combination of two gates leading to the emergence of new Dirac cones.

Strain and curvature induced evolution of electronic band structures in twisted graphene bilayer.

- Materials Science, MedicineNature communications
- 2013

The results suggest that strained graphene bilayer could be an ideal platform to realize the high-temperature zero-field quantum valley Hall effect.

Band structure of ABC-trilayer graphene superlattice

- Physics
- 2014

We investigate the effect of one-dimensional periodic potentials on the low energy band structure of ABC trilayer graphene first by assuming that all the three layers have the same potential. Extra…

Large Landau-level splitting in a tunable one-dimensional graphene superlattice probed by magnetocapacitance measurements

- PhysicsPhysical Review B
- 2018

The unique zero-energy Landau level of graphene has a particle-hole symmetry in the bulk, which is lifted at the boundary leading to a splitting into two chiral edge modes. It has long been…

Modulation Effects of Periodic Potentials on the Electronic Properties of Bilayer Bernal Graphene: Tight-Binding Model

- Physics
- 2012

Electronic properties of bilayer Bernal graphene under modulated electric fields are calculated by the tight-binding model with an exact diagonalization method. This approach efficiently calculates…