Controlling disorder in two-dimensional networks
Two-dimensional networks are constructed by reference to a distribution of ring sizes and a parameter (α) which controls the preferred nearest-neighbour spatial correlations, and allows network topologies to be varied in a systematic manner. Our method efficiently utilizes the dual lattice and allow...
Principais autores: | , |
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Formato: | Journal article |
Publicado em: |
IOP Publishing
2018
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Resumo: | Two-dimensional networks are constructed by reference to a distribution of ring sizes and a parameter (α) which controls the preferred nearest-neighbour spatial correlations, and allows network topologies to be varied in a systematic manner. Our method efficiently utilizes the dual lattice and allows the range of physically-realisable configurations to be established and compared to networks observed for a wide range of real and model systems. Three different ring distributions are considered; a system containing five-, six- and seven-membered rings only (a proxy for amorphous graphene), the configuration proposed by Zachariasen in 1932, and a configuration observed experimentally for thin (near-2D) films of SiO2. The system energies are investigated as a function of the network topologies and the range of physically-realisable structures established and compared to known experimental results. The limits on the parameter α are discussed and compared to previous results. The evolution of the network structure as a function of topology is discussed in terms of the ring–ring pair distribution functions. |
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