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Superconducting Qubits

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

arXiv

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

Year

2020

Paper ID

19718

Status

Preprint

Abstract Read

~2 min

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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.

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The geometric properties of a lattice can have profound consequences on its band spectrum.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.11953 [2] arXiv https://arxiv.org/abs/2010.11953 [3] Publisher https://arxiv.org/abs/2010.11953

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