Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitons

Detalhes bibliográficos
Autor(a) principal: Henriques, J. C. G.
Data de Publicação: 2020
Outros Autores: Kamban, Hogni C., Pedersen, Thomas G., Peres, N. M. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/66036
Resumo: Using a semiclassical approach, we derive a fully analytical expression for the ionization rate of excitons in two-dimensional materials due to an external static electric field, which eliminates the need for complicated numerical calculations. Our formula shows quantitative agreement with more sophisticated numerical methods based on the exterior complex scaling approach, which solves a non-Hermitian eigenvalue problem yielding complex energy eigenvalues, where the imaginary part describes the ionization rate. Results for excitons in hexagonal boron nitride and the A exciton in transition metal dichalcogenides are given as simple examples. The extension of the theory to include spin-orbit-split excitons in transition metal dichalcogenides is trivial.
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spelling Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitonsCiências Naturais::Ciências FísicasScience & TechnologyUsing a semiclassical approach, we derive a fully analytical expression for the ionization rate of excitons in two-dimensional materials due to an external static electric field, which eliminates the need for complicated numerical calculations. Our formula shows quantitative agreement with more sophisticated numerical methods based on the exterior complex scaling approach, which solves a non-Hermitian eigenvalue problem yielding complex energy eigenvalues, where the imaginary part describes the ionization rate. Results for excitons in hexagonal boron nitride and the A exciton in transition metal dichalcogenides are given as simple examples. The extension of the theory to include spin-orbit-split excitons in transition metal dichalcogenides is trivial.N.M.R.P. acknowledges support from the European Commission through the project “Graphene-Driven Revolutions in ICT and Beyond” (Ref. No. 881603 - core 3), and the Portuguese Foundation for Science and Technology (FCT) in the framework of the Strategic Financing UID/FIS/04650/2019. In addition, N. M. R. P. acknowledges COMPETE2020, PORTUGAL2020, FEDER and the Portuguese Foundation for Science and Technology (FCT) through projects POCI- 01-0145-FEDER-028114, POCI-01-0145-FEDER029265, PTDC/NAN-OPT/29265/2017, and POCI-01- 0145-FEDER-02888. H.C.K and T.G.P gratefully acknowledge financial support from the Center for Nanostructured Graphene (CNG), which is sponsored by the Danish National Research Foundation, Project No. DNRF103. Additionally, T.G.P. is supported by the QUSCOPE Center, sponsored by the Villum Foundation.American Physical SocietyUniversidade do MinhoHenriques, J. C. G.Kamban, Hogni C.Pedersen, Thomas G.Peres, N. M. R.20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/66036eng2469-99502469-996910.1103/PhysRevB.102.035402https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.035402info: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:RCAAP2023-07-21T12:44:11Zoai:repositorium.sdum.uminho.pt:1822/66036Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:41:49.596414Repositório 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 Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitons
title Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitons
spellingShingle Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitons
Henriques, J. C. G.
Ciências Naturais::Ciências Físicas
Science & Technology
title_short Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitons
title_full Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitons
title_fullStr Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitons
title_full_unstemmed Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitons
title_sort Analytical quantitative semi-classical approach to the LoSurdo-Stark effect and ionization in 2D excitons
author Henriques, J. C. G.
author_facet Henriques, J. C. G.
Kamban, Hogni C.
Pedersen, Thomas G.
Peres, N. M. R.
author_role author
author2 Kamban, Hogni C.
Pedersen, Thomas G.
Peres, N. M. R.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Henriques, J. C. G.
Kamban, Hogni C.
Pedersen, Thomas G.
Peres, N. M. R.
dc.subject.por.fl_str_mv Ciências Naturais::Ciências Físicas
Science & Technology
topic Ciências Naturais::Ciências Físicas
Science & Technology
description Using a semiclassical approach, we derive a fully analytical expression for the ionization rate of excitons in two-dimensional materials due to an external static electric field, which eliminates the need for complicated numerical calculations. Our formula shows quantitative agreement with more sophisticated numerical methods based on the exterior complex scaling approach, which solves a non-Hermitian eigenvalue problem yielding complex energy eigenvalues, where the imaginary part describes the ionization rate. Results for excitons in hexagonal boron nitride and the A exciton in transition metal dichalcogenides are given as simple examples. The extension of the theory to include spin-orbit-split excitons in transition metal dichalcogenides is trivial.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01T00:00:00Z
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/1822/66036
url http://hdl.handle.net/1822/66036
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2469-9950
2469-9969
10.1103/PhysRevB.102.035402
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.035402
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
instname_str 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)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
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