Phononic topological states in 1D quasicrystals
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/jspui/handle/123456789/29913 |
Resumo: | In this work, we address the study of phonons propagating on a one-dimensional quasiperiodic lattice, where the atoms are considered bounded by springs whose strength are modulated by equivalent Aubry-André hoppings. As an example, from the equations of motion, we obtained the equivalent phonon spectrum of the well known Hofstadter butterfly. We have also obtained extended, critical, and localized regimes in this spectrum. By introducing the equivalent Aubry-Andr´e model through the variation of the initial phase φ, we have shown that border states for phonons are allowed to exist. These states can be classified as topologically protected states (topological states). By Calculating the Inverse Participation Rate, we describe the localization of phonons and verify a phase transition, characterized by the critical value of λ = 1.0, where the states of the system change from extended to localized, precisely like in a metal-insulator phase transition |
id |
UFRN_9a86eaf3f0188efd463e541ff76a9cbd |
---|---|
oai_identifier_str |
oai:https://repositorio.ufrn.br:123456789/29913 |
network_acronym_str |
UFRN |
network_name_str |
Repositório Institucional da UFRN |
repository_id_str |
|
spelling |
Silva, J.R.M.Anselmo, Dory Hélio Aires de LimaVasconcelos, Manoel Silva deMello, V. D.2020-09-01T00:26:27Z2020-09-01T00:26:27Z2019SILVA, J. R. M; VASCONCELOS, M.S.; ANSELMO, D.H.A.L.; MELLO, V. D. Phononic topological states in 1D quasicrystals. Journal of Physics: Condensed Matter, [s.l.], v. 31, n. 50, p. 505405, 25 set. 2019. Disponível em: https://iopscience.iop.org/article/10.1088/1361-648X/ab312a. Acesso em: 27 ago. 2020. http://dx.doi.org/10.1088/1361-648x/ab312a0953-89841361-648Xhttps://repositorio.ufrn.br/jspui/handle/123456789/2991310.1088/1361-648x/ab312aIOP PublishingPhonons propagatingTopologically protected statesPhononic topological states in 1D quasicrystalsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleIn this work, we address the study of phonons propagating on a one-dimensional quasiperiodic lattice, where the atoms are considered bounded by springs whose strength are modulated by equivalent Aubry-André hoppings. As an example, from the equations of motion, we obtained the equivalent phonon spectrum of the well known Hofstadter butterfly. We have also obtained extended, critical, and localized regimes in this spectrum. By introducing the equivalent Aubry-Andr´e model through the variation of the initial phase φ, we have shown that border states for phonons are allowed to exist. These states can be classified as topologically protected states (topological states). By Calculating the Inverse Participation Rate, we describe the localization of phonons and verify a phase transition, characterized by the critical value of λ = 1.0, where the states of the system change from extended to localized, precisely like in a metal-insulator phase transitionengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/29913/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/29913/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53TEXTPhononicTopologicalStates_VASCONCELOS_2019.pdf.txtPhononicTopologicalStates_VASCONCELOS_2019.pdf.txtExtracted texttext/plain37941https://repositorio.ufrn.br/bitstream/123456789/29913/4/PhononicTopologicalStates_VASCONCELOS_2019.pdf.txt7d776f0f816e48f9c2202a051a2a3fe8MD54THUMBNAILPhononicTopologicalStates_VASCONCELOS_2019.pdf.jpgPhononicTopologicalStates_VASCONCELOS_2019.pdf.jpgGenerated Thumbnailimage/jpeg1323https://repositorio.ufrn.br/bitstream/123456789/29913/5/PhononicTopologicalStates_VASCONCELOS_2019.pdf.jpged5d2e5d77f9236d2aafc1ad9800d645MD55123456789/299132022-10-20 16:29:43.63oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2022-10-20T19:29:43Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Phononic topological states in 1D quasicrystals |
title |
Phononic topological states in 1D quasicrystals |
spellingShingle |
Phononic topological states in 1D quasicrystals Silva, J.R.M. Phonons propagating Topologically protected states |
title_short |
Phononic topological states in 1D quasicrystals |
title_full |
Phononic topological states in 1D quasicrystals |
title_fullStr |
Phononic topological states in 1D quasicrystals |
title_full_unstemmed |
Phononic topological states in 1D quasicrystals |
title_sort |
Phononic topological states in 1D quasicrystals |
author |
Silva, J.R.M. |
author_facet |
Silva, J.R.M. Anselmo, Dory Hélio Aires de Lima Vasconcelos, Manoel Silva de Mello, V. D. |
author_role |
author |
author2 |
Anselmo, Dory Hélio Aires de Lima Vasconcelos, Manoel Silva de Mello, V. D. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Silva, J.R.M. Anselmo, Dory Hélio Aires de Lima Vasconcelos, Manoel Silva de Mello, V. D. |
dc.subject.por.fl_str_mv |
Phonons propagating Topologically protected states |
topic |
Phonons propagating Topologically protected states |
description |
In this work, we address the study of phonons propagating on a one-dimensional quasiperiodic lattice, where the atoms are considered bounded by springs whose strength are modulated by equivalent Aubry-André hoppings. As an example, from the equations of motion, we obtained the equivalent phonon spectrum of the well known Hofstadter butterfly. We have also obtained extended, critical, and localized regimes in this spectrum. By introducing the equivalent Aubry-Andr´e model through the variation of the initial phase φ, we have shown that border states for phonons are allowed to exist. These states can be classified as topologically protected states (topological states). By Calculating the Inverse Participation Rate, we describe the localization of phonons and verify a phase transition, characterized by the critical value of λ = 1.0, where the states of the system change from extended to localized, precisely like in a metal-insulator phase transition |
publishDate |
2019 |
dc.date.issued.fl_str_mv |
2019 |
dc.date.accessioned.fl_str_mv |
2020-09-01T00:26:27Z |
dc.date.available.fl_str_mv |
2020-09-01T00:26:27Z |
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.citation.fl_str_mv |
SILVA, J. R. M; VASCONCELOS, M.S.; ANSELMO, D.H.A.L.; MELLO, V. D. Phononic topological states in 1D quasicrystals. Journal of Physics: Condensed Matter, [s.l.], v. 31, n. 50, p. 505405, 25 set. 2019. Disponível em: https://iopscience.iop.org/article/10.1088/1361-648X/ab312a. Acesso em: 27 ago. 2020. http://dx.doi.org/10.1088/1361-648x/ab312a |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/29913 |
dc.identifier.issn.none.fl_str_mv |
0953-8984 1361-648X |
dc.identifier.doi.none.fl_str_mv |
10.1088/1361-648x/ab312a |
identifier_str_mv |
SILVA, J. R. M; VASCONCELOS, M.S.; ANSELMO, D.H.A.L.; MELLO, V. D. Phononic topological states in 1D quasicrystals. Journal of Physics: Condensed Matter, [s.l.], v. 31, n. 50, p. 505405, 25 set. 2019. Disponível em: https://iopscience.iop.org/article/10.1088/1361-648X/ab312a. Acesso em: 27 ago. 2020. http://dx.doi.org/10.1088/1361-648x/ab312a 0953-8984 1361-648X 10.1088/1361-648x/ab312a |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/29913 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
IOP Publishing |
publisher.none.fl_str_mv |
IOP Publishing |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
instname_str |
Universidade Federal do Rio Grande do Norte (UFRN) |
instacron_str |
UFRN |
institution |
UFRN |
reponame_str |
Repositório Institucional da UFRN |
collection |
Repositório Institucional da UFRN |
bitstream.url.fl_str_mv |
https://repositorio.ufrn.br/bitstream/123456789/29913/2/license_rdf https://repositorio.ufrn.br/bitstream/123456789/29913/3/license.txt https://repositorio.ufrn.br/bitstream/123456789/29913/4/PhononicTopologicalStates_VASCONCELOS_2019.pdf.txt https://repositorio.ufrn.br/bitstream/123456789/29913/5/PhononicTopologicalStates_VASCONCELOS_2019.pdf.jpg |
bitstream.checksum.fl_str_mv |
4d2950bda3d176f570a9f8b328dfbbef e9597aa2854d128fd968be5edc8a28d9 7d776f0f816e48f9c2202a051a2a3fe8 ed5d2e5d77f9236d2aafc1ad9800d645 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN) |
repository.mail.fl_str_mv |
|
_version_ |
1797777010846597120 |