Manipulation of Topological Edge States and Realization of Zero-Dimensional Higher-Order Topological Point States
Topological photonics has provided revolutionary ideas for the design of next-generation photonic devices due to its unique light transmission properties. This paper proposes a honeycomb photonic crystal structure based on a mirror-symmetric interface and numerically simulates the precise manipulati...
Saved in:
Published in | Micromachines (Basel) Vol. 16; no. 6; p. 686 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Switzerland
MDPI AG
07.06.2025
MDPI |
Subjects | |
Online Access | Get full text |
ISSN | 2072-666X 2072-666X |
DOI | 10.3390/mi16060686 |
Cover
Loading…
Abstract | Topological photonics has provided revolutionary ideas for the design of next-generation photonic devices due to its unique light transmission properties. This paper proposes a honeycomb photonic crystal structure based on a mirror-symmetric interface and numerically simulates the precise manipulation of topological edge states and the robust excitation of high-order topological corner states in this structure. Specifically, two honeycomb photonic crystals with non-trivial topological properties form an interface through mirror-symmetric stitching. Continuous adjustment of the spacing between their coupling pillars can induce the closure and reopening of topological edge state energy bands, accompanied by significant band inversion, revealing the dynamic process of topological phase transitions. Furthermore, zero-dimensional high-order topological corner states are observed at the junction of boundaries with different topological properties. Their localized field strengths are strictly confined and exhibit strong robustness against structural defects. This study not only provides a new mechanism for the local symmetry manipulation of topological edge states but also lays a foundation for the design of high-order topological photonic crystals and the practical application of topological photonic devices. |
---|---|
AbstractList | Topological photonics has provided revolutionary ideas for the design of next-generation photonic devices due to its unique light transmission properties. This paper proposes a honeycomb photonic crystal structure based on a mirror-symmetric interface and numerically simulates the precise manipulation of topological edge states and the robust excitation of high-order topological corner states in this structure. Specifically, two honeycomb photonic crystals with non-trivial topological properties form an interface through mirror-symmetric stitching. Continuous adjustment of the spacing between their coupling pillars can induce the closure and reopening of topological edge state energy bands, accompanied by significant band inversion, revealing the dynamic process of topological phase transitions. Furthermore, zero-dimensional high-order topological corner states are observed at the junction of boundaries with different topological properties. Their localized field strengths are strictly confined and exhibit strong robustness against structural defects. This study not only provides a new mechanism for the local symmetry manipulation of topological edge states but also lays a foundation for the design of high-order topological photonic crystals and the practical application of topological photonic devices. Topological photonics has provided revolutionary ideas for the design of next-generation photonic devices due to its unique light transmission properties. This paper proposes a honeycomb photonic crystal structure based on a mirror-symmetric interface and numerically simulates the precise manipulation of topological edge states and the robust excitation of high-order topological corner states in this structure. Specifically, two honeycomb photonic crystals with non-trivial topological properties form an interface through mirror-symmetric stitching. Continuous adjustment of the spacing between their coupling pillars can induce the closure and reopening of topological edge state energy bands, accompanied by significant band inversion, revealing the dynamic process of topological phase transitions. Furthermore, zero-dimensional high-order topological corner states are observed at the junction of boundaries with different topological properties. Their localized field strengths are strictly confined and exhibit strong robustness against structural defects. This study not only provides a new mechanism for the local symmetry manipulation of topological edge states but also lays a foundation for the design of high-order topological photonic crystals and the practical application of topological photonic devices.Topological photonics has provided revolutionary ideas for the design of next-generation photonic devices due to its unique light transmission properties. This paper proposes a honeycomb photonic crystal structure based on a mirror-symmetric interface and numerically simulates the precise manipulation of topological edge states and the robust excitation of high-order topological corner states in this structure. Specifically, two honeycomb photonic crystals with non-trivial topological properties form an interface through mirror-symmetric stitching. Continuous adjustment of the spacing between their coupling pillars can induce the closure and reopening of topological edge state energy bands, accompanied by significant band inversion, revealing the dynamic process of topological phase transitions. Furthermore, zero-dimensional high-order topological corner states are observed at the junction of boundaries with different topological properties. Their localized field strengths are strictly confined and exhibit strong robustness against structural defects. This study not only provides a new mechanism for the local symmetry manipulation of topological edge states but also lays a foundation for the design of high-order topological photonic crystals and the practical application of topological photonic devices. |
Audience | Academic |
Author | Ren, Jiahui Tang, Shiwei Ding, Wenjing Wang, Sihan |
AuthorAffiliation | School of Physical Science and Technology, Ningbo University, Ningbo 315211, China; 2211690037@nbu.edu.cn (J.R.); 2211260096@nbu.edu.cn (W.D.); 2411690049@nbu.edu.cn (S.W.) |
AuthorAffiliation_xml | – name: School of Physical Science and Technology, Ningbo University, Ningbo 315211, China; 2211690037@nbu.edu.cn (J.R.); 2211260096@nbu.edu.cn (W.D.); 2411690049@nbu.edu.cn (S.W.) |
Author_xml | – sequence: 1 givenname: Jiahui surname: Ren fullname: Ren, Jiahui – sequence: 2 givenname: Wenjing surname: Ding fullname: Ding, Wenjing – sequence: 3 givenname: Sihan surname: Wang fullname: Wang, Sihan – sequence: 4 givenname: Shiwei orcidid: 0000-0003-3124-0165 surname: Tang fullname: Tang, Shiwei |
BackLink | https://www.ncbi.nlm.nih.gov/pubmed/40572406$$D View this record in MEDLINE/PubMed |
BookMark | eNpdkl1rFDEUhoNUbK298QfIgDciTM3X5ONKSm1toVLRCuJNOJNJpllmkm1mVrC_3thd1645kISTJ2_OCe9ztBdTdAi9JPiYMY3fjYEIXEKJJ-iAYklrIcT3vUf7fXQ0TQtchpS6TM_QPseNpByLA3T3CWJYrgaYQ4pV8tVNWqYh9cHCUJ11vau-zjC7qYLYVV8cDOF-i_5wOdUfwujiVDKFvwj9rcv1de5c3hH6nEKcN0ov0FMPw-SONush-nZ-dnN6UV9df7w8PbmqLZdsrj2IEkoJIjhIplvJicdON54o1QATlNGOyFa3xHkvW09BU9ZRDJ1reGPZIbpc63YJFmaZwwj5l0kQzEMi5d5AnoMdnGk7orHy0usWOGAJkliqrJQKC6u4KFrv11rLVTu6zro4Zxh2RHdPYrg1ffppCCW6IVQXhTcbhZzuVm6azRgm64YBokuryTBKueCM8aagr_9DF2mVy_8-UExTUQor1PGa6qF0EKJP5WFbonNjsMUjPpT8ieKNIkQKVi68etzDtvi_XijA2zVgc5qm7PwWIdj88Zr55zX2G9x4xbk |
Cites_doi | 10.1364/PRJ.452598 10.1103/PhysRevB.80.033105 10.1103/RevModPhys.82.3045 10.1038/nmat3520 10.1016/j.scib.2020.01.024 10.1103/PhysRevLett.114.223901 10.1103/PhysRevLett.45.494 10.1103/PhysRevLett.120.063902 10.1103/PhysRevB.107.L041403 10.1038/nature08293 10.1016/j.ijmecsci.2022.107360 10.1038/s41567-019-0472-1 10.1038/s41598-018-20001-3 10.1038/nphoton.2014.248 10.1088/2040-8986/aa9b06 10.1103/PhysRevB.102.125144 10.1103/PhysRevB.108.085116 10.1007/978-3-319-25607-8 10.1103/RevModPhys.91.015006 10.1364/OE.465461 10.1126/science.abd2033 10.1364/OE.489523 10.1103/PhysRevB.99.245151 10.1103/RevModPhys.83.1057 10.1038/s41598-018-26395-4 10.1103/PhysRevLett.71.3697 10.1364/PRJ.433188 10.1063/5.0071548 10.1103/PhysRevLett.100.013905 10.1103/PhysRevLett.120.217401 10.3390/electronics8080886 10.1103/PhysRevLett.122.233902 |
ContentType | Journal Article |
Copyright | COPYRIGHT 2025 MDPI AG 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. 2025 by the authors. 2025 |
Copyright_xml | – notice: COPYRIGHT 2025 MDPI AG – notice: 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. – notice: 2025 by the authors. 2025 |
DBID | AAYXX CITATION NPM 7SP 7TB 8FD 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO FR3 HCIFZ L6V L7M M7S PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS 7X8 5PM DOA |
DOI | 10.3390/mi16060686 |
DatabaseName | CrossRef PubMed Electronics & Communications Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea Engineering Research Database SciTech Premium Collection ProQuest Engineering Collection Advanced Technologies Database with Aerospace Engineering Database ProQuest Central Premium ProQuest One Academic Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection MEDLINE - Academic PubMed Central (Full Participant titles) DOAJ Directory of Open Access Journals |
DatabaseTitle | CrossRef PubMed Publicly Available Content Database Technology Collection Technology Research Database ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Central Essentials ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Advanced Technologies Database with Aerospace Engineering Collection Engineering Database ProQuest One Academic Eastern Edition Electronics & Communications Abstracts ProQuest Technology Collection ProQuest SciTech Collection ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) MEDLINE - Academic |
DatabaseTitleList | CrossRef PubMed Publicly Available Content Database MEDLINE - Academic |
Database_xml | – sequence: 1 dbid: DOA name: DOAJ Open Access Full Text url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: NPM name: PubMed url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 3 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Engineering |
EISSN | 2072-666X |
ExternalDocumentID | oai_doaj_org_article_bd1908f7f9ba4a07a71c28c77806c846 PMC12195129 A845811763 40572406 10_3390_mi16060686 |
Genre | Journal Article |
GrantInformation_xml | – fundername: Natural Science Foundation of Zhejiang Province grantid: LY24A040001 – fundername: Ningbo Youth Science and Technology Innovation Leading Talent Project grantid: 2023QL001 |
GroupedDBID | 53G 5VS 8FE 8FG AADQD AAFWJ AAYXX ABJCF ADBBV ADMLS AENEX AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS AOIJS BCNDV BENPR BGLVJ CCPQU CITATION GROUPED_DOAJ HCIFZ HYE IAO ITC KQ8 L6V M7S MM. MODMG M~E OK1 PGMZT PHGZM PHGZT PIMPY PQGLB PROAC PTHSS RPM TR2 TUS NPM 7SP 7TB 8FD ABUWG AZQEC DWQXO FR3 L7M PKEHL PQEST PQQKQ PQUKI PRINS 7X8 5PM PUEGO |
ID | FETCH-LOGICAL-c473t-fa6a6a886164a739b741f0e95f1885a36232d17b9b1eff7bf2a923d20ade545c3 |
IEDL.DBID | DOA |
ISSN | 2072-666X |
IngestDate | Wed Aug 27 01:31:53 EDT 2025 Thu Aug 21 18:34:19 EDT 2025 Fri Jul 11 16:58:12 EDT 2025 Sun Jul 13 04:37:50 EDT 2025 Tue Jul 01 05:40:16 EDT 2025 Sun Jun 29 01:31:29 EDT 2025 Sun Aug 03 02:40:57 EDT 2025 |
IsDoiOpenAccess | true |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 6 |
Keywords | topological photonics topological edge state higher-order topological state |
Language | English |
License | https://creativecommons.org/licenses/by/4.0 Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c473t-fa6a6a886164a739b741f0e95f1885a36232d17b9b1eff7bf2a923d20ade545c3 |
Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 These authors contributed equally to this work. |
ORCID | 0000-0003-3124-0165 |
OpenAccessLink | https://doaj.org/article/bd1908f7f9ba4a07a71c28c77806c846 |
PMID | 40572406 |
PQID | 3223926778 |
PQPubID | 2032359 |
ParticipantIDs | doaj_primary_oai_doaj_org_article_bd1908f7f9ba4a07a71c28c77806c846 pubmedcentral_primary_oai_pubmedcentral_nih_gov_12195129 proquest_miscellaneous_3224643345 proquest_journals_3223926778 gale_infotracacademiconefile_A845811763 pubmed_primary_40572406 crossref_primary_10_3390_mi16060686 |
PublicationCentury | 2000 |
PublicationDate | 2025-06-07 |
PublicationDateYYYYMMDD | 2025-06-07 |
PublicationDate_xml | – month: 06 year: 2025 text: 2025-06-07 day: 07 |
PublicationDecade | 2020 |
PublicationPlace | Switzerland |
PublicationPlace_xml | – name: Switzerland – name: Basel |
PublicationTitle | Micromachines (Basel) |
PublicationTitleAlternate | Micromachines (Basel) |
PublicationYear | 2025 |
Publisher | MDPI AG MDPI |
Publisher_xml | – name: MDPI AG – name: MDPI |
References | Xu (ref_22) 2023; 107 Dorda (ref_1) 1980; 45 Hatsugai (ref_8) 1993; 71 ref_13 Ghorashi (ref_29) 2023; 108 Lin (ref_32) 2020; 102 Deng (ref_27) 2018; 20 Lin (ref_9) 2009; 80 Maczewsky (ref_18) 2020; 370 Yang (ref_16) 2020; 65 Deng (ref_23) 2019; 122 ref_30 Wang (ref_17) 2021; 9 Zhang (ref_31) 2019; 15 Chong (ref_4) 2008; 100 Lu (ref_6) 2014; 8 Zhang (ref_3) 2011; 83 Price (ref_7) 2019; 91 Wang (ref_5) 2009; 461 Guo (ref_19) 2021; 130 Kane (ref_2) 2010; 82 ref_25 ref_24 Huang (ref_14) 2018; 120 Zhou (ref_26) 2022; 10 Xu (ref_12) 2018; 120 Khanikaev (ref_10) 2013; 12 Zhao (ref_20) 2022; 30 Hu (ref_11) 2015; 114 Sui (ref_21) 2022; 225 Shao (ref_15) 2023; 31 Li (ref_28) 2019; 99 |
References_xml | – volume: 10 start-page: 1244 year: 2022 ident: ref_26 article-title: Higher-order valley vortices enabled by synchronized rotation in a photonic crystal publication-title: Photonics Res. doi: 10.1364/PRJ.452598 – volume: 80 start-page: 33105 year: 2009 ident: ref_9 article-title: One-way edge mode in a magneto-optical honeycomb photonic crystal publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.80.033105 – volume: 82 start-page: 3045 year: 2010 ident: ref_2 article-title: Colloquium: Topological insulators publication-title: Rev. Mod. Phys. doi: 10.1103/RevModPhys.82.3045 – volume: 12 start-page: 233 year: 2013 ident: ref_10 article-title: Photonic topological insulators publication-title: Nat. Mater. doi: 10.1038/nmat3520 – volume: 65 start-page: 531 year: 2020 ident: ref_16 article-title: Gapped topological kink states and topological corner states in honeycomb lattice publication-title: Sci. Bull. doi: 10.1016/j.scib.2020.01.024 – volume: 114 start-page: 223901 year: 2015 ident: ref_11 article-title: Scheme for achieving a topological photonic crystal by using dielectric material publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.114.223901 – volume: 45 start-page: 494 year: 1980 ident: ref_1 article-title: New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.45.494 – volume: 120 start-page: 63902 year: 2018 ident: ref_14 article-title: Observation of photonic topological valley Hall edge states publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.120.063902 – volume: 107 start-page: L041403 year: 2023 ident: ref_22 article-title: Continuously tunable topological defects and topological edge states in dielectric photonic crystals publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.107.L041403 – volume: 461 start-page: 772 year: 2009 ident: ref_5 article-title: Observation of unidirectional backscattering-immune topological electromagnetic states publication-title: Nature doi: 10.1038/nature08293 – volume: 225 start-page: 107360 year: 2022 ident: ref_21 article-title: Tunable topological edge states and rainbow trapping in two dimensional magnetoelastic phononic crystal plates based on an external magnetostatic field publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2022.107360 – volume: 15 start-page: 582 year: 2019 ident: ref_31 article-title: Second-order topology and multidimensional topological transitions in sonic crystals publication-title: Nat. Phys. doi: 10.1038/s41567-019-0472-1 – ident: ref_13 doi: 10.1038/s41598-018-20001-3 – volume: 8 start-page: 821 year: 2014 ident: ref_6 article-title: Topological photonics publication-title: Nat. Photonics doi: 10.1038/nphoton.2014.248 – volume: 20 start-page: 14006 year: 2018 ident: ref_27 article-title: Transverse angular momentum in topological photonic crystals publication-title: J. Opt. doi: 10.1088/2040-8986/aa9b06 – volume: 102 start-page: 125144 year: 2020 ident: ref_32 article-title: Corner states and topological transitions in two-dimensional higher-order topological sonic crystals with inversion symmetry publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.102.125144 – volume: 108 start-page: 85116 year: 2023 ident: ref_29 article-title: Topological phases of photonic crystals under crystalline symmetries publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.108.085116 – ident: ref_30 doi: 10.1007/978-3-319-25607-8 – volume: 91 start-page: 15006 year: 2019 ident: ref_7 article-title: Topological photonics publication-title: Rev. Mod. Phys. doi: 10.1103/RevModPhys.91.015006 – volume: 30 start-page: 40515 year: 2022 ident: ref_20 article-title: Tunable topological edge and corner states in an all-dielectric photonic crystal publication-title: Opt. Express doi: 10.1364/OE.465461 – volume: 370 start-page: 701 year: 2020 ident: ref_18 article-title: Nonlinearity-induced photonic topological insulator publication-title: Science doi: 10.1126/science.abd2033 – volume: 31 start-page: 17695 year: 2023 ident: ref_15 article-title: Topological edge and corner states in honeycomb-kagome photonic crystals publication-title: Opt. Express doi: 10.1364/OE.489523 – volume: 99 start-page: 245151 year: 2019 ident: ref_28 article-title: Quantization of fractional corner charge in Cn-symmetric higher-order topological crystalline insulators publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.99.245151 – volume: 83 start-page: 1057 year: 2011 ident: ref_3 article-title: Topological insulators and superconductors publication-title: Rev. Mod. Phys. doi: 10.1103/RevModPhys.83.1057 – ident: ref_25 doi: 10.1038/s41598-018-26395-4 – volume: 71 start-page: 3697 year: 1993 ident: ref_8 article-title: Chern number and edge states in the integer quantum Hall effect publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.71.3697 – volume: 9 start-page: 1854 year: 2021 ident: ref_17 article-title: Higher-order topological phases in tunable C3 symmetric photonic crystals publication-title: Photonics Res. doi: 10.1364/PRJ.433188 – volume: 130 start-page: 203105 year: 2021 ident: ref_19 article-title: Tunable topological valley Hall edge state based on large optical Kerr effect publication-title: J. Appl. Phys. doi: 10.1063/5.0071548 – volume: 100 start-page: 13905 year: 2008 ident: ref_4 article-title: Reflection-free one-way edge modes in a gyromagnetic photonic crystal publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.100.013905 – volume: 120 start-page: 217401 year: 2018 ident: ref_12 article-title: Visualization of a unidirectional electromagnetic waveguide using topological photonic crystals made of dielectric materials publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.120.217401 – ident: ref_24 doi: 10.3390/electronics8080886 – volume: 122 start-page: 233902 year: 2019 ident: ref_23 article-title: Direct observation of corner states in second-order topological photonic crystal slabs publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.122.233902 |
SSID | ssj0000779007 |
Score | 2.3337662 |
Snippet | Topological photonics has provided revolutionary ideas for the design of next-generation photonic devices due to its unique light transmission properties. This... |
SourceID | doaj pubmedcentral proquest gale pubmed crossref |
SourceType | Open Website Open Access Repository Aggregation Database Index Database |
StartPage | 686 |
SubjectTerms | Crystal defects Crystal structure Crystals Energy bands higher-order topological state Interfaces Light transmission Phase transitions Photonic crystals Photonics Stitching Structure Symmetry topological edge state topological photonics Topology |
SummonAdditionalLinks | – databaseName: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1La9wwEBZtcmkPpe86TYtKCz2JWA9b8qkk7YZQSBpCAqEXIeuR7qF2stn8_8zY2s2aQvHNFkLWjDTfjDTfEPJFcHB7nDLMtFViKpjAHC8lCy46sLYKIC_GO45P6qML9fOyuswBt9t8rXK1Jw4bdeg9xsj3QPHAlCPd2bfrG4ZVo_B0NZfQeEy2YQs24HxtH8xOTs_WUZYS6fRKPfKSSvDv9_7OOWB2TIyYWKKBsP_fbXnDLk3vTG4YocPn5FlGj3R_FPcL8ih2L8nTDU7BV-Tm2HXzVVEu2id6PpZBQGHQWbiKdMSX1HWBngFMzImY2PR3XPTsB_L9j1wddLwFwn4hP-eko9N-3i1zT6_JxeHs_PsRy3UVmFdaLllyNTzG1OAqOS2bFlBFKmNTJW5M5cCkSRG4bpuWx5R0m4QDGBhE6UIEwOXlG7LV9V18R6hwEn2iKggwc140TgmPZ5-Gc49ZqwX5vJpjez3SZ1hwO1AS9kESBTnA6V-3QMrr4UW_uLJ5Bdk2AHYxSaemdcqV2mnuhfGgEGXtAUUV5CsKz-LCBAl5l_MLYKBIcWX3jaowq7aGQe2u5Gvzir21D_pVkE_rz7DW8ADFdbG_G9qA8kqpqoK8HdVhPWYEvoiOCmImijL5qemXbv5n4PPmYDUQd-38f1zvyROBxYcxBKR3ydZycRc_ACJath-z2t8DzaIMHA priority: 102 providerName: ProQuest |
Title | Manipulation of Topological Edge States and Realization of Zero-Dimensional Higher-Order Topological Point States |
URI | https://www.ncbi.nlm.nih.gov/pubmed/40572406 https://www.proquest.com/docview/3223926778 https://www.proquest.com/docview/3224643345 https://pubmed.ncbi.nlm.nih.gov/PMC12195129 https://doaj.org/article/bd1908f7f9ba4a07a71c28c77806c846 |
Volume | 16 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Lb9QwEB5BucAB8SZQVkYgcYoaPxI7xxZ2qZBaqqqVKi6R4wfsgQTK9v8zE2eXRBy4oNwSK3I8Y3_fOJ5vAN4KjmGPVSY3bRlz5Y3PLS9k7m2wiLYKKS_td5ycVseX6tNVeTUp9UVnwpI8cBq4g9YjZJmoY91aZQttNXfCOK1NUTkET1p9EfMmwdSwBpOMXqGTHqnEuP7g-5ojV6eEiBkCDUL9fy_HEzyan5WcgM_qAdwfWSM7TL19CLdC9wjuTbQEH8PPE9utt8W4WB_ZRSp_QEZgS_81sMQrme08O0d6OCZgUtMv4brPP5DOf9LoYOn0R_6ZdDlnLzrr191mfNMTuFwtL94f52M9hdwpLTd5tBVexlQYIlkt6xbZRCxCXUZuTGkRyqTwXLd1y0OMuo3CIv3zorA-INFy8insdX0XngMTVlIsVHqB8OZEbZVw9M_TcO4oWzWDN9sxbn4k2YwGww2yRPPHEhkc0fDvWpDU9XADHaAZHaD5lwNk8I6M19CERAs5O-YVYEdJ2qo5NKqkbNoKO7W_tW8zztRfDS5oSBFJRi-D17vHOMfox4ntQn8ztEGnlVKVGTxL7rDrMxFeYkUZmJmjzD5q_qRbfxt0vDmiBfGtF_9jGF7CXUGliWmDSO_D3ub6JrxCvrRpF3DbrD4u4M7R8vTsfDFMlN84ExV3 |
linkProvider | Directory of Open Access Journals |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwEB6VcgAOiDeBAkGAOFmN7TycA0KFdtnSbkFoK1W9GMd2yh5I2u1WiD_Fb2Qmj-1GSNyqvcWW5fXMeL6xPd8AvBYcwx4TK6aKpGSxU44ZHknmjDfobWOEvHTeMTlIx4fx56PkaA3-9Lkw9Kyy3xObjdrVls7IN1Hx0JUT3dn70zNGVaPodrUvodGqxZ7__QtDtvN3u9so3zdCjHamH8esqyrAbJzJBStNij-lUgwUTCbzAn1qGfk8KblSicENXQrHsyIvuC_LrCiFQRDkRGScR7hhJY57Da7HUuZkUWr0aXmmExF5X5S1LKjYHm3-nHGMECgNY-D3mvIA_zqBFS84fKG54vJGd-B2h1XDrVa57sKar-7BrRUGw_twNjHVrC8BFtZlOG2LLpDowx134sMWzYamcuE3BKVd2id1Pfbzmm1TdYGWGSRs35ywL8QGOhjoaz2rFt1ID-DwStb7IaxXdeUfQyiMpAgscQKdqhW5iYWlm1bFuaUc2QBe9WusT1uyDo1BDklCX0oigA-0_MseRLDdfKjnJ7qzV104REqqzMq8MLGJMpNxK5RF9YtSi5gtgLckPE3bAErImi6bASdKhFp6S8UJ5fCmOKmNXr662x_O9aU2B_By2YyWTdc1pvL1RdMHTUXKOAngUasOyzkTzCYsFoAaKMrgTw1bqtmPhj2co48ilPfk__N6ATfG08m-3t892HsKNwWVPabDp2wD1hfzC_8MsdiieN4YQAjfr9ri_gINrUdw |
linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwEB6VrYTggHgTKBAEiJO1sfNyDgi17K5aSpdV1UpVL8Hxo-yBpN1uhfhr_Dpm8thuhMStyi2xLMcz4_nG9nwD8E5wDHtUJJksYsciIw1TPAiZUVaht40Q8tJ-x8E02T2OvpzEJxvwp8uFoWuV3ZpYL9Sm0rRHPkTFQ1dOdGdD116LmI0mn84vGFWQopPWrpxGoyL79vcvDN8uP-6NUNbvhZiMjz7vsrbCANNRGi6ZUwk-UiYYNKg0zAr0ry6wWey4lLHCxT0UhqdFVnDrXFo4oRAQGREoYxF66BD7vQWbKUZFwQA2d8bT2eFqhycgKr8gbThRwzALhj_nHOMFSsroecG6WMC_LmHNJ_bva645wMl9uNciV3-7UbUHsGHLh3B3jc_wEVwcqHLeFQTzK-cfNSUYSBH8sTmzfoNtfVUa_xAhapsESk1P7aJiI6o10PCE-M0NFPaNuEF7Hc2qeblse3oMxzcy409gUFalfQa-UCHFY7ER6GK1yFQkNJ27Ss41Zcx68Lab4_y8oe7IMeQhSeTXkvBgh6Z_1YLotusX1eIsb603LwziJulSlxUqUkGqUq6F1KiMQaIRwXnwgYSX06KAEtKqzW3AgRK9Vr4to5gyehMc1FYn37xdLS7za9324M3qM9o5Hd6o0lZXdRs0nDCMYg-eNuqwGjOBbkJmHsieovR-qv-lnP-oucQ5eizCfM__P67XcButLf-6N91_AXcE1UCmnah0CwbLxZV9icBsWbxqLcCH7zdtdH8Bp6pNAg |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Manipulation+of+Topological+Edge+States+and+Realization+of+Zero-Dimensional+Higher-Order+Topological+Point+States&rft.jtitle=Micromachines+%28Basel%29&rft.au=Ren%2C+Jiahui&rft.au=Ding%2C+Wenjing&rft.au=Wang%2C+Sihan&rft.au=Tang%2C+Shiwei&rft.date=2025-06-07&rft.issn=2072-666X&rft.eissn=2072-666X&rft.volume=16&rft.issue=6&rft_id=info:doi/10.3390%2Fmi16060686&rft.externalDBID=NO_FULL_TEXT |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2072-666X&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2072-666X&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2072-666X&client=summon |