A rigorous proof for non-existence of edge state in the semi-infinite armchair edged graphene |
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| Authors: | Yuanyuan Zhao Wei LiRuibao Tao |
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| Institution: | State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, People's Republic of China |
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| Abstract: | Within the transfer matrix method, we study the conditions for the existence of the edge states in the semi-infinite armchair edged graphene. We discuss zero-energy and non-zero-energy edge states, respectively, and show the non-existence of the edge states in the model analytically and rigorously. |
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| Keywords: | Zero-energy Non-zero-energy edge states Armchair graphene |
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