Flat-band generator in two dimensions
DC Field | Value | Language |
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dc.contributor.author | Wulayimu Maimaiti | - |
dc.contributor.author | Alexei Andreanov | - |
dc.contributor.author | Sergej Flach | - |
dc.date.accessioned | 2021-07-12T01:50:18Z | - |
dc.date.accessioned | 2021-07-12T01:50:18Z | - |
dc.date.available | 2021-07-12T01:50:18Z | - |
dc.date.available | 2021-07-12T01:50:18Z | - |
dc.date.created | 2021-05-27 | - |
dc.date.issued | 2021-04-16 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | https://pr.ibs.re.kr/handle/8788114/9906 | - |
dc.description.abstract | © 2021 American Physical Society.Dispersionless bands, flat bands, provide an excellent test bed for novel physical phases due to the fine-tuned character of flat band tight-binding Hamiltonians. The accompanying macroscopic degeneracy makes any perturbation relevant, no matter how small. For short-range hoppings flat-bands support compact localized states, which allowed us to develop systematic flat-band generators in d=1 dimension in Phys. Rev. B 95, 115135 (2017)2469-995010.1103/PhysRevB.95.115135 and Phys. Rev. B 99, 125129 (2019)2469-995010.1103/PhysRevB.99.125129. Here we extend this generator approach to d=2 dimensions. The shape of a compact localized state turns into an important additional flat-band classifier. This allows us to obtain analytical solutions for classes of d=2 flat-band networks and to reclassify and reobtain known ones, such as the checkerboard, kagome, Lieb, and Tasaki lattices. Our generator can be straightforwardly generalized to three lattice dimensions as well. | - |
dc.language | 영어 | - |
dc.publisher | American Physical Society | - |
dc.title | Flat-band generator in two dimensions | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.identifier.wosid | 000647170100001 | - |
dc.identifier.scopusid | 2-s2.0-85104390296 | - |
dc.identifier.rimsid | 75670 | - |
dc.contributor.affiliatedAuthor | Wulayimu Maimaiti | - |
dc.contributor.affiliatedAuthor | Alexei Andreanov | - |
dc.contributor.affiliatedAuthor | Sergej Flach | - |
dc.identifier.doi | 10.1103/PhysRevB.103.165116 | - |
dc.identifier.bibliographicCitation | Physical Review B, v.103, no.16 | - |
dc.relation.isPartOf | Physical Review B | - |
dc.citation.title | Physical Review B | - |
dc.citation.volume | 103 | - |
dc.citation.number | 16 | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Materials Science | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Materials Science, Multidisciplinary | - |
dc.relation.journalWebOfScienceCategory | Physics, Applied | - |
dc.relation.journalWebOfScienceCategory | Physics, Condensed Matter | - |
dc.subject.keywordPlus | HUBBARD-MODEL | - |
dc.subject.keywordPlus | FERROMAGNETISM | - |
dc.subject.keywordPlus | KAGOME | - |
dc.subject.keywordPlus | STATES | - |