RT Journal Article T1 Hidden topology in flat-band topological insulators: strong, weak, and square-root topological states A1 Zurita, Juan A1 Creffield, Charles A1 Platero, Gloria AB In this paper, 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, 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. PB American Physical Society SN 2469-9950 YR 2025 FD 2025-04-04 LK https://hdl.handle.net/20.500.14352/122871 UL https://hdl.handle.net/20.500.14352/122871 LA eng NO J. Zurita, C. E. Creffield, and G. Platero, Hidden topology in flat-band topological insulators: Strong, weak, and square-root topological states, Phys. Rev. B 111, 155406 (2025). NO ©2025 American Physical SocietyFPU19/03575 NO Ministerio de Ciencia e Innovación (España) NO Agencia Estatal de Investigación (España) NO European Commission NO Ministerio de Economia y Competitividad (España) NO Consejo Superior de Investigaciones Científicas (España) DS Docta Complutense RD 28 mar 2026