Sublattice imbalance of states in graphene nanoflakes
The energy states of π -electrons in a graphene nanoflake obtained from graphene, a well-known bipartite lattice or honeycomb lattice of carbon atoms, are studied using the tight-binding method. It is reported that the sublattice imbalance Δ N of the entire graphene nanoflake including vacancy clust...
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Format: | Article |
Language: | English |
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IOP Publishing
2023-01-01
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Series: | Journal of Physics Communications |
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Online Access: | https://doi.org/10.1088/2399-6528/ad0022 |
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author | H Yorikawa |
author_facet | H Yorikawa |
author_sort | H Yorikawa |
collection | DOAJ |
description | The energy states of π -electrons in a graphene nanoflake obtained from graphene, a well-known bipartite lattice or honeycomb lattice of carbon atoms, are studied using the tight-binding method. It is reported that the sublattice imbalance Δ N of the entire graphene nanoflake including vacancy clusters, which characterizes the electronic states, consists of those of the outer and inner edges. In nonzero-energy states, the electrons are evenly distributed between the sublattices A and B, regardless of the value of Δ N . In contrast, zero-energy states are ∣Δ N ∣-fold degenerate states where the electrons are unevenly distributed on either sublattice A or sublattice B. Occasionally, large or specific graphene nanoflakes have substantial zero-energy states, which are mixed states of the nonzero-energy states and zero-energy states. |
first_indexed | 2024-03-11T18:14:58Z |
format | Article |
id | doaj.art-3c97df346d5c4a5fb39626fb00c3db59 |
institution | Directory Open Access Journal |
issn | 2399-6528 |
language | English |
last_indexed | 2024-03-11T18:14:58Z |
publishDate | 2023-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | Journal of Physics Communications |
spelling | doaj.art-3c97df346d5c4a5fb39626fb00c3db592023-10-16T08:35:06ZengIOP PublishingJournal of Physics Communications2399-65282023-01-017909500110.1088/2399-6528/ad0022Sublattice imbalance of states in graphene nanoflakesH Yorikawa0https://orcid.org/0000-0001-5181-618XGraduate School of Engineering, Utsunomiya University , 7-1-2 Yoto, Utsunomiya, Tochigi, JapanThe energy states of π -electrons in a graphene nanoflake obtained from graphene, a well-known bipartite lattice or honeycomb lattice of carbon atoms, are studied using the tight-binding method. It is reported that the sublattice imbalance Δ N of the entire graphene nanoflake including vacancy clusters, which characterizes the electronic states, consists of those of the outer and inner edges. In nonzero-energy states, the electrons are evenly distributed between the sublattices A and B, regardless of the value of Δ N . In contrast, zero-energy states are ∣Δ N ∣-fold degenerate states where the electrons are unevenly distributed on either sublattice A or sublattice B. Occasionally, large or specific graphene nanoflakes have substantial zero-energy states, which are mixed states of the nonzero-energy states and zero-energy states.https://doi.org/10.1088/2399-6528/ad0022graphenenano flakesublattice imbalancevacancyedge statesp-electron |
spellingShingle | H Yorikawa Sublattice imbalance of states in graphene nanoflakes Journal of Physics Communications graphene nano flake sublattice imbalance vacancy edge states p-electron |
title | Sublattice imbalance of states in graphene nanoflakes |
title_full | Sublattice imbalance of states in graphene nanoflakes |
title_fullStr | Sublattice imbalance of states in graphene nanoflakes |
title_full_unstemmed | Sublattice imbalance of states in graphene nanoflakes |
title_short | Sublattice imbalance of states in graphene nanoflakes |
title_sort | sublattice imbalance of states in graphene nanoflakes |
topic | graphene nano flake sublattice imbalance vacancy edge states p-electron |
url | https://doi.org/10.1088/2399-6528/ad0022 |
work_keys_str_mv | AT hyorikawa sublatticeimbalanceofstatesingraphenenanoflakes |