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The affection on the nature of percolation by concentration of pentagon-heptagon defects in graphene lattice |
| Yuming Yang(杨宇明)1,2, Baohua Teng(滕保华)1 |
1 School of Physics, University of Electronic Science and Technology of China, Chengdu 610054, China;
2 School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China |
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Abstract In this paper the percolation behavior with a specific concentration of the defects was discussed on the two-dimensional graphene lattice. The percolation threshold is determined by a numerical method with a high degree of accuracy. This method is also suitable for locating the percolation critical point on other crystalline structures. Through investigating the evolution of the largest cluster size and the cluster sizes distribution, we find that under various lattice sizes and concentrations of pentagon-heptagon defects there is no apparent change for the percolation properties in graphene lattice.
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Received: 15 June 2018
Revised: 04 August 2018
Accepted manuscript online:
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PACS:
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64.60.ah
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(Percolation)
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64.60.De
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(Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.))
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65.80.Ck
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(Thermal properties of graphene)
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Corresponding Authors:
Yuming Yang
E-mail: yangym@uestc.edu.cn
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Cite this article:
Yuming Yang(杨宇明), Baohua Teng(滕保华) The affection on the nature of percolation by concentration of pentagon-heptagon defects in graphene lattice 2018 Chin. Phys. B 27 106401
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