Band structures of bilayer graphene superlattices

Details Band structures of bilayer graphene superlattices Band structures of bilayer graphene superlattices

2011-03-31

arxiv.org/abs/1104.0051v3

Phys. Rev. Lett. 107, 086801 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Minor revisions, added reference; 4 pages, 4 figures; 4 pages of supplemental material with 2 figures

Scientific paper

10.1103/PhysRevLett.107.086801

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 comprised of 'topological' edge modes. 2D superlattice modulations are shown to lead to gaps on the mini-Brillouin zone boundary but do not, for certain symmetries, gap out the quadratic band touching point. Such potential variations, induced by impurities and rippling in biased BLG, could lead to subgap modes which are argued to be relevant to understanding transport measurements.

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