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Topological Modes in One Dimensional Solids and Photonic Crystals

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posted on 2025-07-31, 14:15 authored by TJ Atherton, CAM Butler, MC Taylor, Ian R. Hooper, Alastair P. Hibbins, JR Sambles, H Mathur
It is shown theoretically that a one-dimensional crystal with time reversal symmetry is characterized by a Z_{2} topological invariant that predicts the existence or otherwise of edge states. This is confirmed experimentally through the construction and simulation of a photonic crystal analogue in the microwave regime.

Funding

We thank an anonymous referee for helpful comments. The authors acknowledge financial support from the EPSRC through the QUEST program grant (Grant No. EP/I034548/1), C.A.M.B. was supported by QinetiQ and the EPSRC through the Industrial CASE scheme (Grant No. 08000346). H.M. is supported by a grant from the U. S. Department of Energy to the Particle Astrophysics Theory group at CWRU. T.J.A. is funded by the Research Corporation for Science Advancement through a Cottrell Award.

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This is the final version of the article. Available from American Physical Society via the DOI in this record.

Journal

Physical Review B

Publisher

American Physical Society

Language

en

Citation

Vol. 93, article 125106

Department

  • Physics and Astronomy

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