Time Evolution of Electron Waves in Graphene Superlattices

Detalhes bibliográficos
Autor(a) principal: Fernandes, David E.
Data de Publicação: 2015
Outros Autores: Rodrigues, Manuel, Falcão, Gabriel, Silveirinha, Mário G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/108482
https://doi.org/10.1063/1.4959190
Resumo: preprint, 37 pages, 11 figures
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spelling Time Evolution of Electron Waves in Graphene SuperlatticesPhysics - Mesoscopic Systems and Quantum Hall Effect; Physics - Mesoscopic Systems and Quantum Hall Effectpreprint, 37 pages, 11 figuresThe time evolution of electron waves in graphene superlattices is studied using both microscopic and 'effective medium' formalisms. The numerical simulations reveal that in a wide range of physical scenarios it is possible to neglect the granularity of the superlattice and characterize the electron transport using a simple effective Hamiltonian. It is verified that as general rule the continuum approximation is rather accurate when the initial state is less localized than the characteristic spatial period of the superlattice. This property holds even when the microsocopic electric potential has a strong spatial modulation or in presence of interfaces between different superlattices. Detailed examples are given both of the time evolution of initial electronic states and of the propagation of stationary states in the context of wave scattering. The theory also confirms that electrons propagating in tailored graphene superlattices with extreme anisotropy experience virtually no diffraction.American Institute of Physics2015-11-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/108482http://hdl.handle.net/10316/108482https://doi.org/10.1063/1.4959190eng2158-3226http://arxiv.org/abs/1511.04949v4Fernandes, David E.Rodrigues, ManuelFalcão, GabrielSilveirinha, Mário G.info: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:RCAAP2023-08-30T08:38:28Zoai:estudogeral.uc.pt:10316/108482Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:24:46.364540Repositório 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 Time Evolution of Electron Waves in Graphene Superlattices
title Time Evolution of Electron Waves in Graphene Superlattices
spellingShingle Time Evolution of Electron Waves in Graphene Superlattices
Fernandes, David E.
Physics - Mesoscopic Systems and Quantum Hall Effect; Physics - Mesoscopic Systems and Quantum Hall Effect
title_short Time Evolution of Electron Waves in Graphene Superlattices
title_full Time Evolution of Electron Waves in Graphene Superlattices
title_fullStr Time Evolution of Electron Waves in Graphene Superlattices
title_full_unstemmed Time Evolution of Electron Waves in Graphene Superlattices
title_sort Time Evolution of Electron Waves in Graphene Superlattices
author Fernandes, David E.
author_facet Fernandes, David E.
Rodrigues, Manuel
Falcão, Gabriel
Silveirinha, Mário G.
author_role author
author2 Rodrigues, Manuel
Falcão, Gabriel
Silveirinha, Mário G.
author2_role author
author
author
dc.contributor.author.fl_str_mv Fernandes, David E.
Rodrigues, Manuel
Falcão, Gabriel
Silveirinha, Mário G.
dc.subject.por.fl_str_mv Physics - Mesoscopic Systems and Quantum Hall Effect; Physics - Mesoscopic Systems and Quantum Hall Effect
topic Physics - Mesoscopic Systems and Quantum Hall Effect; Physics - Mesoscopic Systems and Quantum Hall Effect
description preprint, 37 pages, 11 figures
publishDate 2015
dc.date.none.fl_str_mv 2015-11-16
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/10316/108482
http://hdl.handle.net/10316/108482
https://doi.org/10.1063/1.4959190
url http://hdl.handle.net/10316/108482
https://doi.org/10.1063/1.4959190
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2158-3226
http://arxiv.org/abs/1511.04949v4
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
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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instacron_str RCAAP
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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