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Quantum transport on honeycomb networks

We study the transport properties on honeycomb networks motivated by graphene structures by using the continuous-time quantum walk (CTQW) model. For various relevant topologies we consider the average return probability and its long-time average as measures for the transport efficiency. These quanti...

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Autores principales: Maquiné Batalha, Geyson, Volta, Antonio, Strunz, Walter T., Galiceanu, Mircea
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9046230/
https://www.ncbi.nlm.nih.gov/pubmed/35478202
http://dx.doi.org/10.1038/s41598-022-10537-w
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author Maquiné Batalha, Geyson
Volta, Antonio
Strunz, Walter T.
Galiceanu, Mircea
author_facet Maquiné Batalha, Geyson
Volta, Antonio
Strunz, Walter T.
Galiceanu, Mircea
author_sort Maquiné Batalha, Geyson
collection PubMed
description We study the transport properties on honeycomb networks motivated by graphene structures by using the continuous-time quantum walk (CTQW) model. For various relevant topologies we consider the average return probability and its long-time average as measures for the transport efficiency. These quantities are fully determined by the eigenvalues and the eigenvectors of the connectivity matrix of the network. For all networks derived from graphene structures we notice a nontrivial interplay between good spreading and localization effects. Flat graphene with similar number of hexagons along both directions shows a decrease in transport efficiency compared to more one-dimensional structures. This loss can be overcome by increasing the number of layers, thus creating a graphite network, but it gets less efficient when rolling up the sheets so that a nanotube structure is considered. We found peculiar results for honeycomb networks constructed from square graphene, i.e. the same number of hexagons along both directions of the graphene sheet. For these kind of networks we encounter significant differences between networks with an even or odd number of hexagons along one of the axes.
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spelling pubmed-90462302022-04-29 Quantum transport on honeycomb networks Maquiné Batalha, Geyson Volta, Antonio Strunz, Walter T. Galiceanu, Mircea Sci Rep Article We study the transport properties on honeycomb networks motivated by graphene structures by using the continuous-time quantum walk (CTQW) model. For various relevant topologies we consider the average return probability and its long-time average as measures for the transport efficiency. These quantities are fully determined by the eigenvalues and the eigenvectors of the connectivity matrix of the network. For all networks derived from graphene structures we notice a nontrivial interplay between good spreading and localization effects. Flat graphene with similar number of hexagons along both directions shows a decrease in transport efficiency compared to more one-dimensional structures. This loss can be overcome by increasing the number of layers, thus creating a graphite network, but it gets less efficient when rolling up the sheets so that a nanotube structure is considered. We found peculiar results for honeycomb networks constructed from square graphene, i.e. the same number of hexagons along both directions of the graphene sheet. For these kind of networks we encounter significant differences between networks with an even or odd number of hexagons along one of the axes. Nature Publishing Group UK 2022-04-27 /pmc/articles/PMC9046230/ /pubmed/35478202 http://dx.doi.org/10.1038/s41598-022-10537-w Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis 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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Maquiné Batalha, Geyson
Volta, Antonio
Strunz, Walter T.
Galiceanu, Mircea
Quantum transport on honeycomb networks
title Quantum transport on honeycomb networks
title_full Quantum transport on honeycomb networks
title_fullStr Quantum transport on honeycomb networks
title_full_unstemmed Quantum transport on honeycomb networks
title_short Quantum transport on honeycomb networks
title_sort quantum transport on honeycomb networks
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9046230/
https://www.ncbi.nlm.nih.gov/pubmed/35478202
http://dx.doi.org/10.1038/s41598-022-10537-w
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