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 |
Registos relacionados
article Topological Graphene plasmons in a plasmonic realization of the Su-Schrieffer-Heeger Model
por: Rappoport, Tatiana Gabriela
Publicado em: (2021)
por: Rappoport, Tatiana Gabriela
Publicado em: (2021)
school The SSH model in mechanical systems and graphene plasmons
por: Miranda, Daniel de Abreu
Publicado em: (2024)
por: Miranda, Daniel de Abreu
Publicado em: (2024)
article Scattering of surface plasmon-polaritons in a graphene multilayer photonic crystal with inhomogeneous doping
por: Bludov, Yuliy V.
Publicado em: (2016)
por: Bludov, Yuliy V.
Publicado em: (2016)
article Controlling spoof plasmons in a metal grating using graphene surface plasmons
por: Dias, Eduardo J. C.
Publicado em: (2017)
por: Dias, Eduardo J. C.
Publicado em: (2017)
article Modeling the excitation of graphene plasmons in periodic grids of graphene ribbons: an analytical approach
por: Gonçalves, Paulo André Dias
Publicado em: (2016)
por: Gonçalves, Paulo André Dias
Publicado em: (2016)
category Preface [to] An introduction to graphene plasmonics
por: Gonçalves, Paulo André Dias
Publicado em: (2016)
por: Gonçalves, Paulo André Dias
Publicado em: (2016)
article Universal description of channel plasmons in two-dimensional materials
por: Gonçalves, Paulo André Dias
Publicado em: (2017)
por: Gonçalves, Paulo André Dias
Publicado em: (2017)
article Probing nonlocal effects in metals with graphene plasmons
por: Dias, Eduardo J. C.
Publicado em: (2018)
por: Dias, Eduardo J. C.
Publicado em: (2018)
article Propagation of surface plasmons on plasmonic Bragg gratings
por: Chaves, A. J.
Publicado em: (2019)
por: Chaves, A. J.
Publicado em: (2019)
article A hydrodynamic model approach to the formation of plasmonic wakes in graphene
por: Chaves, A. J.
Publicado em: (2017)
por: Chaves, A. J.
Publicado em: (2017)
article Scattering of graphene plasmons at abrupt interfaces: an analytic and numeric study
por: Chaves, A. J.
Publicado em: (2018)
por: Chaves, A. J.
Publicado em: (2018)
article Graphene plasmons in triangular wedges and grooves
por: Gonçalves, Paulo André Dias
Publicado em: (2016)
por: Gonçalves, Paulo André Dias
Publicado em: (2016)
article Pumping electrons in graphene to the $\mathbf{M}$-point in the Brillouin zone: The emergence of anisotropic plasmons
por: Chaves, A. J.
Publicado em: (2016)
por: Chaves, A. J.
Publicado em: (2016)
article Hybrid plasmon-magnon polaritons in graphene-antiferromagnet heterostructures
por: Bludov, Yuliy V.
Publicado em: (2019)
por: Bludov, Yuliy V.
Publicado em: (2019)
article Analysis of all-optical generation of graphene surface plasmons by a frequency-difference process
por: Dias, Rui
Publicado em: (2022)
por: Dias, Rui
Publicado em: (2022)
article Hybridized Plasmons in 2D Nano-slits: From Graphene to Anisotropic 2D Materials
por: Gonçalves, Paulo André Dias
Publicado em: (2017)
por: Gonçalves, Paulo André Dias
Publicado em: (2017)
article Two-level systems coupled to Graphene plasmons: a Lindblad equation approach
por: Antão, T. V. C.
Publicado em: (2021)
por: Antão, T. V. C.
Publicado em: (2021)
article A primer on surface plasmon-polaritons in graphene
por: Bludov, Yuliy V.
Publicado em: (2013)
por: Bludov, Yuliy V.
Publicado em: (2013)
article Stable hydrogenated graphene edge types: Normal and reconstructed Klein edges
por: Wagner, Philipp
Publicado em: (2013)
por: Wagner, Philipp
Publicado em: (2013)
article Surface plasmon-polaritons in graphene, embedded into medium with gain and losses
por: Zhernovnykova, O. A.
Publicado em: (2019)
por: Zhernovnykova, O. A.
Publicado em: (2019)
article A critical analysis on the sensitivity enhancement of surface plasmon resonance sensors with graphene
por: dos Santos Almeida, Aline
Publicado em: (2022)
por: dos Santos Almeida, Aline
Publicado em: (2022)
article Nonlinear optical effects in one- and two-layer metal structures
por: Khmelinskii, Igor
Publicado em: (2019)
por: Khmelinskii, Igor
Publicado em: (2019)
article Harnessing ultraconfined graphene plasmons to probe the electrodynamics of superconductors
por: Costa, A. T.
Publicado em: (2021)
por: Costa, A. T.
Publicado em: (2021)
school Excitation of plasmon-polaritons in graphene via non-linear mixing of optical waves
por: Dias, Rui Jorge Pinto
Publicado em: (2023)
por: Dias, Rui Jorge Pinto
Publicado em: (2023)
article Graphene-based nanostructures: Plasmonics in the THz range
por: Bludov, Yuliy V.
Publicado em: (2015)
por: Bludov, Yuliy V.
Publicado em: (2015)
article Understanding the electromagnetic response of Graphene/Metallic nanostructures hybrids of different dimensionality
por: Rappoport, Tatiana Gabriela
Publicado em: (2020)
por: Rappoport, Tatiana Gabriela
Publicado em: (2020)
article Modeling of a plasmonic biosensor based on a graphene nanoribbon superlattice
por: Souto, André
Publicado em: (2022)
por: Souto, André
Publicado em: (2022)
article Enhancing the hybridization of plasmons in graphene with 2D superconductor collective modes
por: Costa, A. T.
Publicado em: (2022)
por: Costa, A. T.
Publicado em: (2022)
article Excitation of SPP's in graphene by a waveguide mode
por: Pedrelli, D. C.
Publicado em: (2019)
por: Pedrelli, D. C.
Publicado em: (2019)
article Numerical calculation of the Casimir-Polder interaction between a graphene sheet with vacancies and an atom
por: Cysne, T. P.
Publicado em: (2016)
por: Cysne, T. P.
Publicado em: (2016)
article Multiple negative differential conductance regions and inelastic phonon assisted tunneling in graphene-hBN-graphene structures
por: Amorim, B.
Publicado em: (2016)
por: Amorim, B.
Publicado em: (2016)
school Plasmonic response of a nanorod in the vicinity of a planar surface
por: Vasilevskiy, Igor
Publicado em: (2021)
por: Vasilevskiy, Igor
Publicado em: (2021)
article Terahertz response of patterned epitaxial graphene
por: Sorger, Christian
Publicado em: (2015)
por: Sorger, Christian
Publicado em: (2015)
school The hydrodynamic approach for plasmonics in graphene
por: Passos, Pedro Alexandre Ferreira
Publicado em: (2023)
por: Passos, Pedro Alexandre Ferreira
Publicado em: (2023)
article Graphene-based photodetector with two cavities
por: Ferreira, Aires Francisco Lemos Gonçalves
Publicado em: (2012)
por: Ferreira, Aires Francisco Lemos Gonçalves
Publicado em: (2012)
article Transport properties of graphene with one-dimensional charge de- fects
por: Ferreira, Aires
Publicado em: (2011)
por: Ferreira, Aires
Publicado em: (2011)
article Plasmonic properties of gold nanospheres coupled to reduced graphene oxide for biosensing applications
por: Fantoni, Alessandro
Publicado em: (2019)
por: Fantoni, Alessandro
Publicado em: (2019)
article Electromagnetic properties of a monolayer of polarisable particles deposited on graphene
por: Souto, André
Publicado em: (2017)
por: Souto, André
Publicado em: (2017)
article Zigzag graphene nanoribbon edge reconstruction with stone-wales defects
por: Rodrigues, João N. B.
Publicado em: (2011)
por: Rodrigues, João N. B.
Publicado em: (2011)
article Topological abstraction of higher-dimensional automata
por: Kahl, Thomas
Publicado em: (2016)
por: Kahl, Thomas
Publicado em: (2016)
Atividades financiadas
progress_activity Carregando projetos financiados...
Registos relacionados
-
article Topological Graphene plasmons in a plasmonic realization of the Su-Schrieffer-Heeger Model
por: Rappoport, Tatiana Gabriela
Publicado em: (2021) -
school The SSH model in mechanical systems and graphene plasmons
por: Miranda, Daniel de Abreu
Publicado em: (2024) -
article Scattering of surface plasmon-polaritons in a graphene multilayer photonic crystal with inhomogeneous doping
por: Bludov, Yuliy V.
Publicado em: (2016) -
article Controlling spoof plasmons in a metal grating using graphene surface plasmons
por: Dias, Eduardo J. C.
Publicado em: (2017) -
article Modeling the excitation of graphene plasmons in periodic grids of graphene ribbons: an analytical approach
por: Gonçalves, Paulo André Dias
Publicado em: (2016)