Electronic Structure of Bilayer Graphene: A Real-space Green's Function Study

Details Electronic Structure of Bilayer Graphene: A Real-space Green's Function Study Electronic Structure of Bilayer Graphene: A Real-space Green's Function Study

2006-12-19

arxiv.org/abs/cond-mat/0612483v1

Physics

Condensed Matter

Materials Science

15 pages and 4 figures

Scientific paper

In this paper, a real-space analytical expression for the free Green's function (propagator) of bilayer graphene is derived based on the effective-mass approximation. Green's function displays highly spatial anisotropy with three-fold rotational symmetry. The calculated local density of states (LDOS) of a perfect bilayer graphene produces the main features of the observed scanning tunneling microscopy (STM) images of graphite at low bias voltage. Some predicted features of the LDOS can be verified by STM measurements. In addition, we also calculate the LDOS of bilayer graphene with vacancies by using the multiple-scattering theory (scatterings are localized around the vacancy of bilayer graphene). We observe that the interference patterns are determined mainly by the intrinsic properties of the propagator and the symmetry of the vacancies.

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