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

Christie S. Chiu, Da Shuai Ma, Zhi Da Song, B. Andrei Bernevig, Andrew A. Houck

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish (US)
Article number043414
JournalPhysical Review Research
Volume2
Issue number4
DOIs
StatePublished - Dec 23 2020

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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