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Article: Upper bound of a band complex

TitleUpper bound of a band complex
Authors
Issue Date2023
Citation
Physical Review B, 2023, v. 107, n. 23, article no. 235145 How to Cite?
AbstractThe band structure for a crystal generally consists of connected components in energy-momentum space, known as band complexes. Here, we explore a fundamental aspect regarding the maximal number of bands that can be accommodated in a single band complex. We show that, in principle, a band complex can have no finite upper bound for certain space groups. This means infinitely many bands can entangle together, forming a connected pattern stable against symmetry-preserving perturbations. This is demonstrated by our developed inductive construction procedure, through which a given band complex can always be grown into a larger one by gluing a basic building block to it. As a by-product, we demonstrate the existence of arbitrarily large accordion-type band structures containing NC=4n bands, with n∈N.
Persistent Identifierhttp://hdl.handle.net/10722/335019
ISSN
2023 Impact Factor: 3.2
2023 SCImago Journal Rankings: 1.345
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLi, Si-
dc.contributor.authorZhang, Zeying-
dc.contributor.authorFeng, Xukun-
dc.contributor.authorWu, Weikang-
dc.contributor.authorYu, Zhi Ming-
dc.contributor.authorZhao, Y. X.-
dc.contributor.authorYao, Yugui-
dc.contributor.authorYang, Shengyuan A.-
dc.date.accessioned2023-10-24T08:28:30Z-
dc.date.available2023-10-24T08:28:30Z-
dc.date.issued2023-
dc.identifier.citationPhysical Review B, 2023, v. 107, n. 23, article no. 235145-
dc.identifier.issn2469-9950-
dc.identifier.urihttp://hdl.handle.net/10722/335019-
dc.description.abstractThe band structure for a crystal generally consists of connected components in energy-momentum space, known as band complexes. Here, we explore a fundamental aspect regarding the maximal number of bands that can be accommodated in a single band complex. We show that, in principle, a band complex can have no finite upper bound for certain space groups. This means infinitely many bands can entangle together, forming a connected pattern stable against symmetry-preserving perturbations. This is demonstrated by our developed inductive construction procedure, through which a given band complex can always be grown into a larger one by gluing a basic building block to it. As a by-product, we demonstrate the existence of arbitrarily large accordion-type band structures containing NC=4n bands, with n∈N.-
dc.languageeng-
dc.relation.ispartofPhysical Review B-
dc.titleUpper bound of a band complex-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevB.107.235145-
dc.identifier.scopuseid_2-s2.0-85163989751-
dc.identifier.volume107-
dc.identifier.issue23-
dc.identifier.spagearticle no. 235145-
dc.identifier.epagearticle no. 235145-
dc.identifier.eissn2469-9969-
dc.identifier.isiWOS:001104448200001-

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