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Topological Quantum Computing Open Quantum Systems Decoherence

Hidden topology in flat-band topological insulators: Strong, weak and square-root topological states

arXiv

Authors: Juan Zurita, Charles E. Creffield, Gloria Platero

Year

2024

Paper ID

37948

Status

Preprint

Abstract Read

~2 min

Abstract Words

118

Citations

N/A

Abstract

In this Letter, we study a previously unexplored class of topological states protected by hidden chiral symmetries that are local, that is, that protect against any off-diagonal disorder. We derive their related topological invariant for the first time, and show that these previously unidentified symmetries can act together with standard chiral symmetries to increase the protection of the end modes, using the Creutz ladder as an example. Finally, thanks to local hidden symmetries, we show that the diamond necklace chain can have three different types of topological end modes: strong, weak or square-root, with some of the states inheriting their topology from others. This marks the first time a square-root topological insulator is identified as its own parent.

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In this Letter, we study a previously unexplored class of topological states protected by hidden chiral symmetries that are local, that is, that protect against any...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.14512 [2] arXiv https://arxiv.org/abs/2410.14512 [3] Publisher https://arxiv.org/abs/2410.14512

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