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강상관계물질연구단
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Flat bands with band crossings enforced by symmetry representation

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dc.contributor.authorYoonseok Hwang-
dc.contributor.authorJun-Won Rhim-
dc.contributor.authorBohm-Jung Yang-
dc.date.accessioned2021-08-31T01:30:02Z-
dc.date.accessioned2021-08-31T01:30:02Z-
dc.date.available2021-08-31T01:30:02Z-
dc.date.available2021-08-31T01:30:02Z-
dc.date.created2021-08-26-
dc.date.issued2021-08-05-
dc.identifier.issn2469-9950-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/10172-
dc.description.abstract© 2021 American Physical Society.Flat bands have band crossing points with other dispersive bands in many systems including the canonical flat-band models in the Lieb and kagome lattices. Here we show that some of such band degeneracy points of nondegenerate flat bands are unavoidable because of the symmetry representation (SR) of flat bands under unitary symmetry. We refer to such a band degeneracy point of flat bands as a SR-enforced band crossing. SR-enforced band crossing is distinct from the conventional band degeneracy protected by symmetry eigenvalues or topological charges in that its protection requires both specific symmetry representation and band flatness of the flat band, simultaneously. Even n-fold rotation Cn (n=2,3,4,6) symmetry, which cannot protect band degeneracy without additional symmetries due to its abelian nature, can protect SR-enforced band crossings in flat-band systems. In two-dimensional flat-band systems with Cn symmetry, when the degeneracy of a SR-enforced band crossing is lifted by a Cn symmetry-preserving perturbation, we obtain a nearly flat Chern band. Our theory not only explains the origin of the band crossing points of FBs existing in various models, but also gives a strict no-go theorem for isolated FBs in a given lattice arising from the SR.-
dc.language영어-
dc.publisherAmerican Physical Society-
dc.titleFlat bands with band crossings enforced by symmetry representation-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000681427000005-
dc.identifier.scopusid2-s2.0-85112365485-
dc.identifier.rimsid76286-
dc.contributor.affiliatedAuthorYoonseok Hwang-
dc.contributor.affiliatedAuthorJun-Won Rhim-
dc.contributor.affiliatedAuthorBohm-Jung Yang-
dc.identifier.doi10.1103/PhysRevB.104.L081104-
dc.identifier.bibliographicCitationPHYSICAL REVIEW B, v.104, no.8-
dc.relation.isPartOfPHYSICAL REVIEW B-
dc.citation.titlePHYSICAL REVIEW B-
dc.citation.volume104-
dc.citation.number8-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMaterials Science-
dc.relation.journalResearchAreaPhysics-
dc.relation.journalWebOfScienceCategoryMaterials Science, Multidisciplinary-
dc.relation.journalWebOfScienceCategoryPhysics, Applied-
dc.relation.journalWebOfScienceCategoryPhysics, Condensed Matter-
Appears in Collections:
Center for Correlated Electron Systems(강상관계 물질 연구단) > 1. Journal Papers (저널논문)
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