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Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene
In the one-band model of strong coupling, the influence of substitutional impurity atoms on the energy spectrum and electrical conductance of graphene is studied. It is established that the ordering of substitutional impurity atoms on nodes of the crystal lattice causes the appearance of a gap in th...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6002564/ https://www.ncbi.nlm.nih.gov/pubmed/29904112 http://dx.doi.org/10.1038/s41598-018-26925-0 |
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author | Repetsky, S. P. Vyshyvana, I. G. Kruchinin, S. P. Bellucci, Stefano |
author_facet | Repetsky, S. P. Vyshyvana, I. G. Kruchinin, S. P. Bellucci, Stefano |
author_sort | Repetsky, S. P. |
collection | PubMed |
description | In the one-band model of strong coupling, the influence of substitutional impurity atoms on the energy spectrum and electrical conductance of graphene is studied. It is established that the ordering of substitutional impurity atoms on nodes of the crystal lattice causes the appearance of a gap in the energy spectrum of graphene with width η|δ| centered at the point yδ, where η is the parameter of ordering, δ is the difference of the scattering potentials of impurity atoms and carbon atoms, and y is the impurity concentration. The maximum value of the parameter of ordering is [Formula: see text] . For the complete ordering of impurity atoms, the energy gap width equals [Formula: see text] . If the Fermi level falls in the region of the mentioned gap, then the electrical conductance [Formula: see text] at the ordering of graphene, i.e., the metal–dielectric transition arises. If the Fermi level is located outside the gap, then the electrical conductance increases with the parameter of order η by the relation [Formula: see text] . At the concentration [Formula: see text] , as the ordering of impurity atoms η →1, the electrical conductance of graphene [Formula: see text] , i.e., the transition of graphene in the state of ideal electrical conductance arises. |
format | Online Article Text |
id | pubmed-6002564 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-60025642018-06-26 Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene Repetsky, S. P. Vyshyvana, I. G. Kruchinin, S. P. Bellucci, Stefano Sci Rep Article In the one-band model of strong coupling, the influence of substitutional impurity atoms on the energy spectrum and electrical conductance of graphene is studied. It is established that the ordering of substitutional impurity atoms on nodes of the crystal lattice causes the appearance of a gap in the energy spectrum of graphene with width η|δ| centered at the point yδ, where η is the parameter of ordering, δ is the difference of the scattering potentials of impurity atoms and carbon atoms, and y is the impurity concentration. The maximum value of the parameter of ordering is [Formula: see text] . For the complete ordering of impurity atoms, the energy gap width equals [Formula: see text] . If the Fermi level falls in the region of the mentioned gap, then the electrical conductance [Formula: see text] at the ordering of graphene, i.e., the metal–dielectric transition arises. If the Fermi level is located outside the gap, then the electrical conductance increases with the parameter of order η by the relation [Formula: see text] . At the concentration [Formula: see text] , as the ordering of impurity atoms η →1, the electrical conductance of graphene [Formula: see text] , i.e., the transition of graphene in the state of ideal electrical conductance arises. Nature Publishing Group UK 2018-06-14 /pmc/articles/PMC6002564/ /pubmed/29904112 http://dx.doi.org/10.1038/s41598-018-26925-0 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Repetsky, S. P. Vyshyvana, I. G. Kruchinin, S. P. Bellucci, Stefano Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene |
title | Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene |
title_full | Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene |
title_fullStr | Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene |
title_full_unstemmed | Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene |
title_short | Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene |
title_sort | influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6002564/ https://www.ncbi.nlm.nih.gov/pubmed/29904112 http://dx.doi.org/10.1038/s41598-018-26925-0 |
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