Cloaking resonant scatterers and tuning electron flow in graphene
Autor(a) principal: | |
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Data de Publicação: | 2015 |
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/1822/35017 |
Resumo: | We consider resonant scatterers with large scattering cross-sections in graphene that are produced by a gated disk or a vacancy, and show that a gated ring can be engineered to produce an efficient electron cloak. We also demonstrate that this same scheme can be applied to tune the direction of electron flow. Our analysis is based on a partial-wave expansion of the electronic wave-functions in the continuum approximation, described by the Dirac equation. Using a symmetrized version of the massless Dirac equation, we derive a general condition for the cloaking of a scatterer by a potential with radial symmetry. We also perform tight-binding calculations to show that our findings are robust against the presence of disorder in the gate potential. |
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Cloaking resonant scatterers and tuning electron flow in grapheneGrapheneCloakingCiências Naturais::Ciências FísicasScience & TechnologyWe consider resonant scatterers with large scattering cross-sections in graphene that are produced by a gated disk or a vacancy, and show that a gated ring can be engineered to produce an efficient electron cloak. We also demonstrate that this same scheme can be applied to tune the direction of electron flow. Our analysis is based on a partial-wave expansion of the electronic wave-functions in the continuum approximation, described by the Dirac equation. Using a symmetrized version of the massless Dirac equation, we derive a general condition for the cloaking of a scatterer by a potential with radial symmetry. We also perform tight-binding calculations to show that our findings are robust against the presence of disorder in the gate potential.NMRP acknowledges support from EC under Graphene Flagship (Contract No. CNECT-ICT604391), the hospitality of the Instituto de Física of the UFRJ, and stimulating discussions with Bruno Amorim on the Lippamnn-Schwinger equation for Dirac electrons. TGR thanks the Brazilian agencies CNPq and FAPERJ and Brazil Science without Borders program for nancial support. FAP acknowledges CAPES (Grant No. BEX 1497/14-6) and CNPq (Grant No. 303286/2013-0) for financial supportAmerican Physical SocietyUniversidade do MinhoOliver, DiegoGarcia, Jose H.Rappoport, Tatiana G.Peres, N. M. R.Pinheiro, Felipe A.2015-042015-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/35017engOliver, D., Garcia, J. H., Rappoport, T. G., Peres, N. M. R., & Pinheiro, F. A. (2015). Cloaking resonant scatterers and tuning electron flow in graphene. Physical Review B, 91(15), 155416-155426. doi: 10.1103/PhysRevB.91.1554161098-01211550-235X10.1103/PhysRevB.91.155416info: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:RCAAP2023-07-21T12:23:32Zoai:repositorium.sdum.uminho.pt:1822/35017Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:17:16.188642Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Cloaking resonant scatterers and tuning electron flow in graphene |
title |
Cloaking resonant scatterers and tuning electron flow in graphene |
spellingShingle |
Cloaking resonant scatterers and tuning electron flow in graphene Oliver, Diego Graphene Cloaking Ciências Naturais::Ciências Físicas Science & Technology |
title_short |
Cloaking resonant scatterers and tuning electron flow in graphene |
title_full |
Cloaking resonant scatterers and tuning electron flow in graphene |
title_fullStr |
Cloaking resonant scatterers and tuning electron flow in graphene |
title_full_unstemmed |
Cloaking resonant scatterers and tuning electron flow in graphene |
title_sort |
Cloaking resonant scatterers and tuning electron flow in graphene |
author |
Oliver, Diego |
author_facet |
Oliver, Diego Garcia, Jose H. Rappoport, Tatiana G. Peres, N. M. R. Pinheiro, Felipe A. |
author_role |
author |
author2 |
Garcia, Jose H. Rappoport, Tatiana G. Peres, N. M. R. Pinheiro, Felipe A. |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Oliver, Diego Garcia, Jose H. Rappoport, Tatiana G. Peres, N. M. R. Pinheiro, Felipe A. |
dc.subject.por.fl_str_mv |
Graphene Cloaking Ciências Naturais::Ciências Físicas Science & Technology |
topic |
Graphene Cloaking Ciências Naturais::Ciências Físicas Science & Technology |
description |
We consider resonant scatterers with large scattering cross-sections in graphene that are produced by a gated disk or a vacancy, and show that a gated ring can be engineered to produce an efficient electron cloak. We also demonstrate that this same scheme can be applied to tune the direction of electron flow. Our analysis is based on a partial-wave expansion of the electronic wave-functions in the continuum approximation, described by the Dirac equation. Using a symmetrized version of the massless Dirac equation, we derive a general condition for the cloaking of a scatterer by a potential with radial symmetry. We also perform tight-binding calculations to show that our findings are robust against the presence of disorder in the gate potential. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-04 2015-04-01T00:00:00Z |
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/1822/35017 |
url |
http://hdl.handle.net/1822/35017 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Oliver, D., Garcia, J. H., Rappoport, T. G., Peres, N. M. R., & Pinheiro, F. A. (2015). Cloaking resonant scatterers and tuning electron flow in graphene. Physical Review B, 91(15), 155416-155426. doi: 10.1103/PhysRevB.91.155416 1098-0121 1550-235X 10.1103/PhysRevB.91.155416 |
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 |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799132624052027392 |