Machine Learning-Based Detection of Graphene Defects with Atomic Precision
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		    ARTICLE
 
 Cite as Nano-Micro Lett. (2020) 12:181 Received: 18 June 2020 Accepted: 12 August 2020 © The Author(s) 2020
 
 https://doi.org/10.1007/s40820-020-00519-w
 
 Machine Learning‑Based Detection of Graphene Defects with Atomic Precision Bowen Zheng1, Grace X. Gu1 * * Grace X. Gu, [email protected] Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA
 
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 HIGHLIGHTS • A machine learning-based approach is developed to predict the unknown defect locations by thermal vibration topographies of graphene sheets. • Two prediction strategies are developed: an atom-based method which constructs data by atom indices, and a domain-based method which constructs data by domain discretization. • Our machine learning model can achieve approximately a 90% prediction accuracy on the reserved data for testing, indicating a promising extrapolation into unseen future graphene configurations.
 
 ABSTRACT  Defects in graphene can pro-
 
 foundly impact its extraordinary properties,
 
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 ultimately influencing the performances of graphene-based nanodevices. Methods to detect
 
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 defects with atomic resolution in graphene can be technically demanding and involve complex
 
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 sample preparations. An alternative approach
 
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 is to observe the thermal vibration properties of the graphene sheet, which reflects defect information but in an implicit fashion. Machine
 
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 5 Graphene with unknown defects
 
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 Energy distribution at thermal vibration
 
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 Machine learning: kernel ridge regression
 
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 Defect prediction
 
 learning, an emerging data-driven approach that offers solutions to learning hidden patterns from complex data, has been extensively applied in material design and discovery problems. In this paper, we propose a machine learning-based approach to detect graphene defects by discovering the hidden correlation between defect locations and thermal vibration features. Two prediction strategies are developed: an atom-based method which constructs data by atom indices, and a domain-based method which constructs data by domain discretization. Results show that while the atom-based method is capable of detecting a single-atom vacancy, the domain-based method can detect an unknown number of multiple vacancies up to atomic precision. Both methods can achieve approximately a 90% prediction accuracy on the reserved data for testing, indicating a promising extrapolation into unseen future graphene configurations. The proposed strategy offers promising solutions for the non-destructive evaluation of nanomaterials and accelerates new material discoveries. KEYWORDS  Machine learning; Graphene; Defects; Molecular dynamics; Nanomaterials
 
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 1 Introduction Graphene, due to its extraordinary electrical [1–3], thermal [4–6], and mechanical [7–10] properties, has been widely used as building blocks in high-performance nanoelectromechanical systems (NEMS) [11, 12], stretchable electronics [13, 14], supercapacitors [15, 16],		
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