Two-dimensional materials in the presence of nonplanar interfaces
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/60495 |
Resumo: | We consider a planar two-dimensional system between two media with different dielectric constants and in the presence of a third dielectric medium separated by a nonplanar interface. Extending a perturbative method for solving Poisson's equation, developed by Clinton, Esrick, and Sacks [Phys. Rev. B, 31, 7540 (1985)], in the presence of nonplanar conducting boundaries to the situation proposed here, we obtain, up to the first order in terms of the function which defines the nonplanar interface, the effective potential, the effective electrostatic field, the effective dielectric constant for the planar 2D system, and the effective external field acting in-plane in the 2D system. Implications of the results to properties of 2D systems are discussed. In the limit of planar surfaces, vacuum-dielectric or vacuum-conducting media, our results are in agreement with those found in the literature. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Two-dimensional materials in the presence of nonplanar interfacesCiências Naturais::Ciências FísicasScience & TechnologyWe consider a planar two-dimensional system between two media with different dielectric constants and in the presence of a third dielectric medium separated by a nonplanar interface. Extending a perturbative method for solving Poisson's equation, developed by Clinton, Esrick, and Sacks [Phys. Rev. B, 31, 7540 (1985)], in the presence of nonplanar conducting boundaries to the situation proposed here, we obtain, up to the first order in terms of the function which defines the nonplanar interface, the effective potential, the effective electrostatic field, the effective dielectric constant for the planar 2D system, and the effective external field acting in-plane in the 2D system. Implications of the results to properties of 2D systems are discussed. In the limit of planar surfaces, vacuum-dielectric or vacuum-conducting media, our results are in agreement with those found in the literature.D.T.A. was partially supported by Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES/Brazil), via Programa Estagio Senior no Exterior - Processo 88881.119705/2016-01 - by Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq/Brazil), via Processo 461826/2014-3 (Edital Universal), and also thanks the hospitality of the Centro de Fisica, Universidade do Minho, Braga, Portugal. N.M.R.P. acknowledges support from the European Commission through the project "Graphene Driven Revolutions in ICT and Beyond" (Ref. No. 785219), FEDER, and the Portuguese Foundation for Science and Technology (FCT) through project POCI-01-0145-FEDER-028114, and in the framework of the Strategic Financing UID/FIS/04650/2013.info:eu-repo/semantics/publishedVersionAmerican Physical SocietyUniversidade do MinhoAlves, Danilo T.Peres, N. M. R.20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/60495eng2469-995010.1103/PhysRevB.99.075437info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:15:11ZPortal AgregadorONG |
dc.title.none.fl_str_mv |
Two-dimensional materials in the presence of nonplanar interfaces |
title |
Two-dimensional materials in the presence of nonplanar interfaces |
spellingShingle |
Two-dimensional materials in the presence of nonplanar interfaces Alves, Danilo T. Ciências Naturais::Ciências Físicas Science & Technology |
title_short |
Two-dimensional materials in the presence of nonplanar interfaces |
title_full |
Two-dimensional materials in the presence of nonplanar interfaces |
title_fullStr |
Two-dimensional materials in the presence of nonplanar interfaces |
title_full_unstemmed |
Two-dimensional materials in the presence of nonplanar interfaces |
title_sort |
Two-dimensional materials in the presence of nonplanar interfaces |
author |
Alves, Danilo T. |
author_facet |
Alves, Danilo T. Peres, N. M. R. |
author_role |
author |
author2 |
Peres, N. M. R. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Alves, Danilo T. Peres, N. M. R. |
dc.subject.por.fl_str_mv |
Ciências Naturais::Ciências Físicas Science & Technology |
topic |
Ciências Naturais::Ciências Físicas Science & Technology |
description |
We consider a planar two-dimensional system between two media with different dielectric constants and in the presence of a third dielectric medium separated by a nonplanar interface. Extending a perturbative method for solving Poisson's equation, developed by Clinton, Esrick, and Sacks [Phys. Rev. B, 31, 7540 (1985)], in the presence of nonplanar conducting boundaries to the situation proposed here, we obtain, up to the first order in terms of the function which defines the nonplanar interface, the effective potential, the effective electrostatic field, the effective dielectric constant for the planar 2D system, and the effective external field acting in-plane in the 2D system. Implications of the results to properties of 2D systems are discussed. In the limit of planar surfaces, vacuum-dielectric or vacuum-conducting media, our results are in agreement with those found in the literature. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019 2019-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/1822/60495 |
url |
http://hdl.handle.net/1822/60495 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2469-9950 10.1103/PhysRevB.99.075437 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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1777303715161571328 |