Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materials
Autor(a) principal: | |
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Data de Publicação: | 2020 |
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/1822/66033 |
Resumo: | Two-dimensional (2D) massive Dirac electrons possess a finite Berry curvature, with Chern number 1/2, that entails both a quantized dc Hall response and a subgap full-quarter Kerr rotation. The observation of these effects in 2D massive Dirac materials such as gapped graphene, hexagonal boron nitride or transition metal dichalcogenides (TMDs) is obscured by the fact that Dirac cones come in pairs with opposite sign Berry curvatures, leading to a vanishing Chern number. Here, we show that the presence of spin-orbit interactions, combined with an exchange spin splitting induced either by diluted magnetic impurities or by proximity to a ferromagnetic insulator, gives origin to a net magneto-optical Kerr effect in such systems. We focus on the case of TMD monolayers and study the dependence of Kerr rotation on frequency and exchange spin splitting. The role of the substrate is included in the theory and found to critically affect the results. Our calculations indicate that state-of-the-art magneto-optical Kerr spectroscopy can detect a single magnetic impurity in diluted magnetic TMDs. |
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Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materialsmagneto-optical Kerr effecttwo-dimensional massive Dirac modelexchange spin splittingspin-orbit interactionsdiluted magnetic impuritiesScience & TechnologyTwo-dimensional (2D) massive Dirac electrons possess a finite Berry curvature, with Chern number 1/2, that entails both a quantized dc Hall response and a subgap full-quarter Kerr rotation. The observation of these effects in 2D massive Dirac materials such as gapped graphene, hexagonal boron nitride or transition metal dichalcogenides (TMDs) is obscured by the fact that Dirac cones come in pairs with opposite sign Berry curvatures, leading to a vanishing Chern number. Here, we show that the presence of spin-orbit interactions, combined with an exchange spin splitting induced either by diluted magnetic impurities or by proximity to a ferromagnetic insulator, gives origin to a net magneto-optical Kerr effect in such systems. We focus on the case of TMD monolayers and study the dependence of Kerr rotation on frequency and exchange spin splitting. The role of the substrate is included in the theory and found to critically affect the results. Our calculations indicate that state-of-the-art magneto-optical Kerr spectroscopy can detect a single magnetic impurity in diluted magnetic TMDs.We thank Allan H MacDonald, Elaine Li, Alejandro Molina-Sanchez and Joao C G Henriques for fruitful discussions. GC acknowledges Fundacao para a Ciencia e a Tecnologia (FCT) for Grant No. SFRH/BD/138806/2018. GC and JF-R acknowledge financial support from FCT through Grant No. P2020-PTDC/FIS-NAN/4662/2014. NMRP acknowledges financial support from European Commission through project 'Graphene-Driven Revolutions in ICT and Beyond' (Ref. No. 785219), FCT in the framework of Strategic Financing (Ref. No. UID/FIS/04650/2019), and COMPETE2020, PORTUGAL2020, FEDER and FCT for Grants No. PTDC/FIS-NAN/3668/2013, No. POCI-01-0145-FEDER-028114, No. POCI-01-0145-FEDER-029265 and No. PTDC/NANOPT/29265/2017. JF-R acknowledges FCT for Grant No. UTAP-EXPL/NTec/0046/2017, as well as Generalitat Valenciana funding Prometeo2017/139 and MINECO-Spain (Grant No. MAT201678625-C2).IOP Publishing LtdUniversidade do MinhoCatarina, G.Peres, N. M. R.Fernández-Rossier, J.20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/66033eng2053-15832053-158310.1088/2053-1583/ab6781https://iopscience.iop.org/article/10.1088/2053-1583/ab6781info: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:RCAAP2023-07-21T12:15:48Zoai:repositorium.sdum.uminho.pt:1822/66033Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:08:16.955723Repositório 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 |
Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materials |
title |
Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materials |
spellingShingle |
Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materials Catarina, G. magneto-optical Kerr effect two-dimensional massive Dirac model exchange spin splitting spin-orbit interactions diluted magnetic impurities Science & Technology |
title_short |
Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materials |
title_full |
Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materials |
title_fullStr |
Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materials |
title_full_unstemmed |
Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materials |
title_sort |
Magneto-optical Kerr effect in spin split two-dimensional massive Dirac materials |
author |
Catarina, G. |
author_facet |
Catarina, G. Peres, N. M. R. Fernández-Rossier, J. |
author_role |
author |
author2 |
Peres, N. M. R. Fernández-Rossier, J. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Catarina, G. Peres, N. M. R. Fernández-Rossier, J. |
dc.subject.por.fl_str_mv |
magneto-optical Kerr effect two-dimensional massive Dirac model exchange spin splitting spin-orbit interactions diluted magnetic impurities Science & Technology |
topic |
magneto-optical Kerr effect two-dimensional massive Dirac model exchange spin splitting spin-orbit interactions diluted magnetic impurities Science & Technology |
description |
Two-dimensional (2D) massive Dirac electrons possess a finite Berry curvature, with Chern number 1/2, that entails both a quantized dc Hall response and a subgap full-quarter Kerr rotation. The observation of these effects in 2D massive Dirac materials such as gapped graphene, hexagonal boron nitride or transition metal dichalcogenides (TMDs) is obscured by the fact that Dirac cones come in pairs with opposite sign Berry curvatures, leading to a vanishing Chern number. Here, we show that the presence of spin-orbit interactions, combined with an exchange spin splitting induced either by diluted magnetic impurities or by proximity to a ferromagnetic insulator, gives origin to a net magneto-optical Kerr effect in such systems. We focus on the case of TMD monolayers and study the dependence of Kerr rotation on frequency and exchange spin splitting. The role of the substrate is included in the theory and found to critically affect the results. Our calculations indicate that state-of-the-art magneto-optical Kerr spectroscopy can detect a single magnetic impurity in diluted magnetic TMDs. |
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/1822/66033 |
url |
http://hdl.handle.net/1822/66033 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2053-1583 2053-1583 10.1088/2053-1583/ab6781 https://iopscience.iop.org/article/10.1088/2053-1583/ab6781 |
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 |
IOP Publishing Ltd |
publisher.none.fl_str_mv |
IOP Publishing Ltd |
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 |
repository.mail.fl_str_mv |
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1799132504509120512 |