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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Main Author: H Yorikawa
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:Journal of Physics Communications
Subjects:
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.
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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