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Why twisting angles are diverse in graphene Moire patterns?

Authors
Jiang, Jin-WuWang, Bing-ShenRabczuk, Timon
Issue Date
21-May-2013
Publisher
AMER INST PHYSICS
Citation
JOURNAL OF APPLIED PHYSICS, v.113, no.19
Indexed
SCI
SCIE
SCOPUS
Journal Title
JOURNAL OF APPLIED PHYSICS
Volume
113
Number
19
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/103210
DOI
10.1063/1.4805036
ISSN
0021-8979
1089-7550
Abstract
The interlayer energy of the twisting bilayer graphene is investigated by the molecular mechanics method using both the registry-dependent potential and the Lennard-Jones potential. Both potentials show that the interlayer energy is independent of the twisting angle theta, except in the two boundary regions theta approximate to 0 degrees or 60 degrees, where the interlayer energy is proportional to the square of the twisting arc length. The calculation results are successfully interpreted by a single atom model. An important information from our findings is that, from the energy point of view, there is no preference for the twisting angle in the experimental bilayer graphene samples, which actually explains the diverse twisting angles in the experiment. (C) 2013 AIP Publishing LLC.
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