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Analytical study of surface states caused by the edge decoration |
| Zhao Yuan-Yuan(赵媛媛)†, Li Wei(李炜), and Tao Rui-Bao(陶瑞宝) |
| State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China |
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Abstract Analytical studies of the effect of edge decoration on the energy spectrum of semi-infinite one-dimensional (1D) model and zigzag edged graphene (ZEG) are presented by means of transfer matrix method, in the frame of which the conditions for the existence of edge states are determined. For 1D model, the zero-energy surface state occurs regardless of whether the decorations exist or not, while the non-zero-energy surface states can be induced and manipulated through adjusting the edge decoration. On the other hand, the case for the semi-infinite ZEG model with nearest-neighbour interaction is discussed in the analogous way. The non-zero-energy surface states can be induced by the edge decoration and moreover, the ratio between the edge hopping and the bulk hopping amplitudes should be within a certain threshold.
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Received: 01 August 2011
Revised: 18 October 2011
Accepted manuscript online:
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PACS:
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73.22.Pr
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(Electronic structure of graphene)
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73.20.At
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(Surface states, band structure, electron density of states)
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71.15.-m
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(Methods of electronic structure calculations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10847001) and the National Basic Research Program of China (Grant Nos. 2009CB929204 and 2011CB921803). |
Corresponding Authors:
Zhao Yuan-Yuan,zhaoyuanyuan@fudan.edu.cn
E-mail: zhaoyuanyuan@fudan.edu.cn
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Cite this article:
Zhao Yuan-Yuan(赵媛媛), Li Wei(李炜), and Tao Rui-Bao(陶瑞宝) Analytical study of surface states caused by the edge decoration 2012 Chin. Phys. B 21 027302
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