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 …

Topological edge and corner states in bismuth fractal nanostructures

R Canyellas, C Liu, R Arouca, L Eek, G Wang, Y Yin… - Nature Physics, 2024 - nature.com
Topological materials hosting metallic edges characterized by integer-quantized
conductivity in an insulating bulk have revolutionized our understanding of transport in …

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 …

Higher-order topological phase in an acoustic fractal lattice

J Li, Q Mo, JH Jiang, Z Yang - arxiv preprint arxiv:2205.05298, 2022 - arxiv.org
Higher-order topological insulators, which support lower-dimensional topological boundary
states than the first-order topological insulators, have been intensely investigated in the …

Observation of nonlinear fractal higher order topological insulator

H Zhong, VO Kompanets, Y Zhang… - Light: Science & …, 2024 - nature.com
Higher-order topological insulators (HOTIs) are unique materials hosting topologically
protected states, whose dimensionality is at least by 2 lower than that of the bulk …

Delocalization of higher-order topological states in higher-dimensional non-Hermitian quasicrystals

A Shi, Y Peng, P Peng, J Chen, J Liu - Physical Review B, 2024 - APS
The combination of the non-Hermitian skin effect (NHSE) and topological effects plays a
crucial role in both fundamental and applied physics. Here, we show the interplay between …

Robust elastic wave transport in zone-folding induced topological hierarchical metamaterials

A Ni, Z Shi - International Journal of Mechanical Sciences, 2023 - Elsevier
The topologically protected elastic wave transport in hierarchical metamaterials for the in-
plane mode and out-of-plane mode is investigated in this work. First of all, the influence of …

Theory of nonlinear corner states in photonic fractal lattices

B Ren, YV Kartashov, LJ Maczewsky, MS Kirsch… - …, 2023 - degruyter.com
We study linear and nonlinear higher-order topological insulators (HOTIs) based on
waveguide arrays arranged into Sierpiński gasket and Sierpiński carpet structures, both of …

Topological random fractals

MN Ivaki, I Sahlberg, K Pöyhönen, T Ojanen - Communications Physics, 2022 - nature.com
The search for novel topological quantum states has recently moved beyond naturally
occurring crystalline materials to complex and engineered systems. In this work we …

Non-Hermitian quantum fractals

J Sun, CA Li, Q Guo, W Zhang, S Feng, X Zhang… - Physical Review B, 2024 - APS
The first quantum fractal discovered in physics is the Hofstadter butterfly. It stems from large
external magnetic fields. We discover instead a class of non-Hermitian quantum fractals …