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Phys. Rev. B 75, 085424 (2007) [8 pages]

Electronic structure of bilayer graphene: A real-space Green’s function study

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Z. F. Wang1, Qunxiang Li1,*, Haibin Su2, Xiaoping Wang1, Q. W. Shi1,†, Jie Chen3, Jinlong Yang1, and J. G. Hou1
1Hefei National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China
2School of Materials Science and Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, Singapore
3Electrical and Computer Engineering, University of Alberta, Alberta, Canada T6G 2V4

Received 26 October 2006; revised 18 December 2006; published 14 February 2007

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 threefold 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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.085424
DOI:
10.1103/PhysRevB.75.085424
PACS:
73.61.Wp, 61.72.Ji, 68.37.Ef

*Corresponding author. Email address: liqun@ustc.edu.cn

†Corresponding author. Email address: phsqw@ustc.edu.cn

 
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