Publicação
Topology in a one-dimensional plasmonic crystal: the optical approach
| Resumo: | In this paper we study the topology of the bands of a plasmonic crystal composed of graphene and of a metallic grating. Firstly, we derive a Kronig-Penney type of equation for the plasmonic bands as function of the Bloch wavevector and discuss the propagation of the surface plasmon polaritons on the polaritonic crystal using a transfer-matrix approach considering a finite relaxation time. Second, we reformulate the problem as a tight-binding model that resembles the Su-Schrieffer-Heeger (SSH) Hamiltonian, one difference being that the hopping amplitudes are, in this case, energy dependent. In possession of the tight-binding equations it is a simple task to determine the topology (value of the winding number) of the bands. This allows to determine the existense or absence of topological end modes in the system. Similarly to the SSH model, we show that there is a tunable parameter that induces topological phase transitions from trivial to non-trivial. In our case, it is the distance d between the graphene sheet and the metallic grating. We note that d is a parameter that can be easily tuned experimentally simply by controlling the thickness of the spacer between the grating and the graphene sheet. It is then experimentally feasible to engineer devices with the required topological properties. Finally, we suggest a scattering experiment allowing the observation of the topological states. |
|---|---|
| Autores principais: | Miranda, Daniel Abreu |
| Outros Autores: | Bludov, Yuliy V.; Asger Mortensen, N.; Peres, N. M. R. |
| Assunto: | edge states graphene plasmonic topology |
| Ano: | 2024 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| _version_ | 1866878337216937984 |
|---|---|
| author | Miranda, Daniel Abreu |
| author2 | Bludov, Yuliy V. Asger Mortensen, N. Peres, N. M. R. |
| author2_role | author author author |
| author_facet | Miranda, Daniel Abreu Bludov, Yuliy V. Asger Mortensen, N. Peres, N. M. R. |
| author_role | author |
| contributor_name_str_mv | Universidade do Minho |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Miranda, Daniel Abreu\"},{\"Person.name\":\"Bludov, Yuliy V.\"},{\"Person.name\":\"Asger Mortensen, N.\"},{\"Person.name\":\"Peres, N. M. R.\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Universidade do Minho |
| datacite.creators.creator.creatorName.fl_str_mv | Miranda, Daniel Abreu Bludov, Yuliy V. Asger Mortensen, N. Peres, N. M. R. |
| datacite.date.Accepted.fl_str_mv | 2024-12-01T00:00:00Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | edge states graphene plasmonic topology |
| datacite.titles.title.fl_str_mv | Topology in a one-dimensional plasmonic crystal: the optical approach |
| dc.contributor.none.fl_str_mv | Universidade do Minho |
| dc.creator.none.fl_str_mv | Miranda, Daniel Abreu Bludov, Yuliy V. Asger Mortensen, N. Peres, N. M. R. |
| dc.date.Accepted.fl_str_mv | 2024-12-01T00:00:00Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/1822/101470 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | AIP Publishing |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | edge states graphene plasmonic topology |
| dc.title.fl_str_mv | Topology in a one-dimensional plasmonic crystal: the optical approach |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | In this paper we study the topology of the bands of a plasmonic crystal composed of graphene and of a metallic grating. Firstly, we derive a Kronig-Penney type of equation for the plasmonic bands as function of the Bloch wavevector and discuss the propagation of the surface plasmon polaritons on the polaritonic crystal using a transfer-matrix approach considering a finite relaxation time. Second, we reformulate the problem as a tight-binding model that resembles the Su-Schrieffer-Heeger (SSH) Hamiltonian, one difference being that the hopping amplitudes are, in this case, energy dependent. In possession of the tight-binding equations it is a simple task to determine the topology (value of the winding number) of the bands. This allows to determine the existense or absence of topological end modes in the system. Similarly to the SSH model, we show that there is a tunable parameter that induces topological phase transitions from trivial to non-trivial. In our case, it is the distance d between the graphene sheet and the metallic grating. We note that d is a parameter that can be easily tuned experimentally simply by controlling the thickness of the spacer between the grating and the graphene sheet. It is then experimentally feasible to engineer devices with the required topological properties. Finally, we suggest a scattering experiment allowing the observation of the topological states. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorium.uminho.pt/bitstreams/676f493e-89ae-4ba0-8ab1-a70b445c655f/download |
| funding.funder.alternateName_str_mv | FCT FCT other |
| funding.funder.identifier_str_mv | http://doi.org/10.13039/501100001871 http://doi.org/10.13039/501100001871 https://doi.org/10.13039/501100004836 |
| funding.funder.name_str_mv | Fundação para a Ciência e a Tecnologia, I.P. Fundação para a Ciência e a Tecnologia, I.P. Danmarks Frie Forskningsfond |
| funding.identifier_str_mv | PTDC/FIS-MAC/2045/2021 UIDB/04650/2020 2032-00045A |
| funding.name_str_mv | Concurso de Projetos IC&DT em Todos os Domínios Científicos Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Base DFF-Forskningsprojekt1 |
| funding_str_mv | PTDC/FIS-MAC/2045/2021 https://hdl.handle.net/1822/98576 UIDB/04650/2020 https://hdl.handle.net/1822/97590 2032-00045A https://hdl.handle.net/1822/101159 |
| id | rum_600241ce5c97bf4eec09ced45a075a90 |
| identifier.url.fl_str_mv | https://hdl.handle.net/1822/101470 |
| instacron_str | repositorium |
| institution | Universidade do Minho |
| instname_str | Universidade do Minho |
| language | eng |
| network_acronym_str | rum |
| network_name_str | RepositóriUM - Universidade do Minho |
| oai_identifier_str | oai:repositorium.uminho.pt:1822/101470 |
| organization_str_mv | urn:organizationAcronym:repositorium |
| person_str_mv | Miranda, Daniel Abreu Bludov, Yuliy V. Asger Mortensen, N. Peres, N. M. R. |
| publishDate | 2024 |
| publisher.none.fl_str_mv | AIP Publishing |
| reponame_str | RepositóriUM - Universidade do Minho |
| repository_id_str | urn:repositoryAcronym:rum |
| service_str_mv | urn:repositoryAcronym:rum |
| spelling | engAIP PublishingengIn this paper we study the topology of the bands of a plasmonic crystal composed of graphene and of a metallic grating. Firstly, we derive a Kronig-Penney type of equation for the plasmonic bands as function of the Bloch wavevector and discuss the propagation of the surface plasmon polaritons on the polaritonic crystal using a transfer-matrix approach considering a finite relaxation time. Second, we reformulate the problem as a tight-binding model that resembles the Su-Schrieffer-Heeger (SSH) Hamiltonian, one difference being that the hopping amplitudes are, in this case, energy dependent. In possession of the tight-binding equations it is a simple task to determine the topology (value of the winding number) of the bands. This allows to determine the existense or absence of topological end modes in the system. Similarly to the SSH model, we show that there is a tunable parameter that induces topological phase transitions from trivial to non-trivial. In our case, it is the distance d between the graphene sheet and the metallic grating. We note that d is a parameter that can be easily tuned experimentally simply by controlling the thickness of the spacer between the grating and the graphene sheet. It is then experimentally feasible to engineer devices with the required topological properties. Finally, we suggest a scattering experiment allowing the observation of the topological states.application/pdfengTopology in a one-dimensional plasmonic crystal: the optical approachMiranda, Daniel AbreuBludov, Yuliy V.Asger Mortensen, N.Peres, N. M. R.HostingInstitutionOrganizationalUniversidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISSNIsPartOf2040-8978DOIIsPartOf10.1088/2040-8986/ad8deeURLHasVersionhttps://iopscience.iop.org/article/10.1088/2040-8986/ad8dee2024-12-012026-04-16T17:10:50Z2024-12-01T00:00:00ZHandlehttps://hdl.handle.net/1822/101470http://purl.org/coar/access_right/c_abf2open accessedge statesgrapheneplasmonictopology3712773 bytesFundação para a Ciência e a Tecnologia, I.P.Excitations in quantum 2D materials (PTDC/FIS-MAC/2045/2021)Concurso de Projetos IC&DT em Todos os Domínios Científicoshttps://hdl.handle.net/1822/98576PTDC/FIS-MAC/2045/2021Crossref Funder IDhttp://doi.org/10.13039/501100001871Fundação para a Ciência e a Tecnologia, I.P.Physics Center of Minho and Porto Universities (UIDB/04650/2020)Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Basehttps://hdl.handle.net/1822/97590UIDB/04650/2020Crossref Funder IDhttp://doi.org/10.13039/501100001871Danmarks Frie ForskningsfondPolaritons in twisted bilayer materials (2032-00045A)DFF-Forskningsprojekt1https://hdl.handle.net/1822/1011592032-00045ACrossref Funder IDhttps://doi.org/10.13039/501100004836literaturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/676f493e-89ae-4ba0-8ab1-a70b445c655f/download2612 |
| spellingShingle | Topology in a one-dimensional plasmonic crystal: the optical approach Miranda, Daniel Abreu edge states graphene plasmonic topology |
| status | SINGLETON |
| subject.fl_str_mv | edge states graphene plasmonic topology |
| title | Topology in a one-dimensional plasmonic crystal: the optical approach |
| title_full | Topology in a one-dimensional plasmonic crystal: the optical approach |
| title_fullStr | Topology in a one-dimensional plasmonic crystal: the optical approach |
| title_full_unstemmed | Topology in a one-dimensional plasmonic crystal: the optical approach |
| title_short | Topology in a one-dimensional plasmonic crystal: the optical approach |
| title_sort | Topology in a one-dimensional plasmonic crystal: the optical approach |
| topic | edge states graphene plasmonic topology |
| topic_facet | edge states graphene plasmonic topology |
| url | https://hdl.handle.net/1822/101470 |
| visible | 1 |
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