Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials

We introduce a composite optical lattice created by two mutually rotated square patterns and allowing observation of continuous transformation between incommensurate and completely periodic structures upon variation of the rotation angle ¿. Such lattices acquire periodicity only for rotation angles...

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Autores: Huang, Changming, Ye, Fangwei, Chen, Xianfeng, Kartashov, Yaroslav V., Konotop, Vladimir V, Torner Sabata, Lluís|||0000-0002-6491-4210
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/98445
Acceso en línea:https://hdl.handle.net/2117/98445
https://dx.doi.org/10.1038/srep32546
Access Level:acceso abierto
Palabra clave:Optical communications
Optical materials and structures
Optical physics
Comunicacions òptiques
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òptica
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spelling Localization-delocalization wavepacket transition in Pythagorean aperiodic potentialsHuang, ChangmingYe, FangweiChen, XianfengKartashov, Yaroslav V.Konotop, Vladimir VTorner Sabata, Lluís|||0000-0002-6491-4210Optical communicationsOptical materials and structuresOptical physicsComunicacions òptiquesÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òpticaWe introduce a composite optical lattice created by two mutually rotated square patterns and allowing observation of continuous transformation between incommensurate and completely periodic structures upon variation of the rotation angle ¿. Such lattices acquire periodicity only for rotation angles cos¿¿¿=¿a/c, sin¿¿¿=¿b/c, set by Pythagorean triples of natural numbers (a, b, c). While linear eigenmodes supported by lattices associated with Pythagorean triples are always extended, composite patterns generated for intermediate rotation angles allow observation of the localization-delocalization transition of eigenmodes upon modification of the relative strength of two sublattices forming the composite pattern. Sharp delocalization of supported modes for certain ¿ values can be used for visualization of Pythagorean triples. The effects predicted here are general and also take place in composite structures generated by two rotated hexagonal lattices.Peer ReviewedMacmillan Publishers20162016-09-0220162016-12-16journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/98445https://dx.doi.org/10.1038/srep32546reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/984452026-05-27T15:37:01Z
dc.title.none.fl_str_mv Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
title Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
spellingShingle Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
Huang, Changming
Optical communications
Optical materials and structures
Optical physics
Comunicacions òptiques
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òptica
title_short Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
title_full Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
title_fullStr Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
title_full_unstemmed Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
title_sort Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
dc.creator.none.fl_str_mv Huang, Changming
Ye, Fangwei
Chen, Xianfeng
Kartashov, Yaroslav V.
Konotop, Vladimir V
Torner Sabata, Lluís|||0000-0002-6491-4210
author Huang, Changming
author_facet Huang, Changming
Ye, Fangwei
Chen, Xianfeng
Kartashov, Yaroslav V.
Konotop, Vladimir V
Torner Sabata, Lluís|||0000-0002-6491-4210
author_role author
author2 Ye, Fangwei
Chen, Xianfeng
Kartashov, Yaroslav V.
Konotop, Vladimir V
Torner Sabata, Lluís|||0000-0002-6491-4210
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Optical communications
Optical materials and structures
Optical physics
Comunicacions òptiques
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òptica
topic Optical communications
Optical materials and structures
Optical physics
Comunicacions òptiques
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òptica
description We introduce a composite optical lattice created by two mutually rotated square patterns and allowing observation of continuous transformation between incommensurate and completely periodic structures upon variation of the rotation angle ¿. Such lattices acquire periodicity only for rotation angles cos¿¿¿=¿a/c, sin¿¿¿=¿b/c, set by Pythagorean triples of natural numbers (a, b, c). While linear eigenmodes supported by lattices associated with Pythagorean triples are always extended, composite patterns generated for intermediate rotation angles allow observation of the localization-delocalization transition of eigenmodes upon modification of the relative strength of two sublattices forming the composite pattern. Sharp delocalization of supported modes for certain ¿ values can be used for visualization of Pythagorean triples. The effects predicted here are general and also take place in composite structures generated by two rotated hexagonal lattices.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-09-02
2016
2016-12-16
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/98445
https://dx.doi.org/10.1038/srep32546
url https://hdl.handle.net/2117/98445
https://dx.doi.org/10.1038/srep32546
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Macmillan Publishers
publisher.none.fl_str_mv Macmillan Publishers
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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