Higher-order topological phases in crystalline and non-crystalline systems: a review

YB Yang, JH Wang, K Li, Y Xu - Journal of Physics: Condensed …, 2024 - iopscience.iop.org
Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

Higher-order topological insulators in hyperbolic lattices

ZR Liu, CB Hua, T Peng, R Chen, B Zhou - Physical Review B, 2023 - APS
To explore the non-Euclidean generalization of higher-order topological phenomena, we
construct a higher-order topological insulator model in hyperbolic lattices by breaking the …

Realization of second-order photonic square-root topological insulators

W Yan, D Song, S Xia, J Xie, L Tang, J Xu… - ACS Photonics, 2021 - ACS Publications
Square-root higher-order topological insulators (HOTIs) are recently discovered new
topological phases, with intriguing topological properties inherited from a parent lattice …

Square-root higher-order topological insulators in a photonic decorated SSH lattice

W Yan, W Cheng, W Liu, Q Liu, F Chen - Optics Letters, 2023 - opg.optica.org
Recently, there has been a surge of interest in square-root higher-order topological
insulators (HOTIs) due to their unique topological properties inherited from their squared …

Observation of Topologically Distinct Corner States in “Bearded” Photonic Kagome Lattices

L Song, D Bongiovanni, Z Hu, Z Wang… - Advanced Optical …, 2024 - Wiley Online Library
Kagome lattices represent an archetype of intriguing physics, attracting a great deal of
interest in different branches of natural sciences, recently in the context of topological …

Kaleidoscopes of Hofstadter butterflies and Aharonov-Bohm caging from -root topology in decorated square lattices

AM Marques, J Mögerle, G Pelegrí, S Flannigan… - Physical Review …, 2023 - APS
Square-root topology describes models whose topological properties can be revealed upon
squaring the Hamiltonian, which produces their respective parent topological insulators …

Tunable Localization of Higher‐Order Bound States in Non‐Hermitian Optical Waveguide Lattices

J Kang, Q Zhang, R Wei, J Qiu, Z Yang… - Laser & Photonics …, 2023 - Wiley Online Library
Higher‐order corner‐bound states in a 2D structure have been found to possess robust and
exotic properties beyond the “ordinary” topological edge states, giving rise to a promising …

Photonic topological insulators in femtosecond laser direct-written waveguides

W Yan, B Zhang, F Chen - npj Nanophotonics, 2024 - nature.com
Topological photonics attract significant interests due to their intriguing fundamental physics
and potential applications. Researchers are actively exploring various artificial platforms to …

Topological n-root Su–Schrieffer–Heeger model in a non-Hermitian photonic ring system

D Viedma, AM Marques, RG Dias, V Ahufinger - Nanophotonics, 2024 - degruyter.com
Square-root topology is one of the newest additions to the ever expanding field of
topological insulators (TIs). It characterizes systems that relate to their parent TI through the …

Photonic Square‐Root Second‐Order Topological Bound States in the Continuum

W Yan, W Cheng, Q Liu, W Liu, B Zhang… - Laser & Photonics …, 2024 - Wiley Online Library
Second‐order topological bound states in the continuum (SOTBICs) have received widely
attention in photonics due to theirs counterintuitive localized properties. A model of square …