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Fragile topology in line-graph lattices with two, three, or four gapped flat bands

Author(s): Chiu, Christie S; Ma, Da-Shuai; Song, Zhi-Da; Bernevig, B Andrei; Houck, Andrew A

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Abstract: The geometric properties of a lattice can have profound consequences on its band spectrum. For example, symmetry constraints and geometric frustration can give rise to topologicially nontrivial and dispersionless bands, respectively. Line-graph lattices are a perfect example of both of these features: Their lowest energy bands are perfectly flat, and here we develop a formalism to connect some of their geometric properties with the presence or absence of fragile topology in their flat bands. This theoretical work will enable experimental studies of fragile topology in several types of line-graph lattices, most naturally suited to superconducting circuits.
Electronic Publication Date: 23-Dec-2020
Citation: Chiu, Christie S, Ma, Da-Shuai, Song, Zhi-Da, Bernevig, B Andrei, Houck, Andrew A. (Fragile topology in line-graph lattices with two, three, or four gapped flat bands. Physical Review Research, 2 (4), 10.1103/physrevresearch.2.043414
DOI: doi:10.1103/physrevresearch.2.043414
EISSN: 2643-1564
Language: en
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review Research
Version: Final published version. This is an open access article.

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