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

Materials Science 2015-06-25 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0612483,
  title  = {Electronic Structure of Bilayer Graphene: A Real-space Green's Function Study},
  author = {Z. F. Wang and Qunxiang Li and Haibin Su and Xiaoping Wang and Q. W. Shi and Jie Chen and Jinlong Yang and J. G. Hou},
  journal= {arXiv preprint arXiv:cond-mat/0612483},
  year   = {2015}
}

Comments

15 pages and 4 figures

R2 v1 2026-07-22T11:41:14.992Z