Topological acoustics

H Xue, Y Yang, B Zhang - Nature Reviews Materials, 2022 - nature.com
Topological acoustics is an emerging field that lies at the intersection of condensed matter
physics, mechanical structural design and acoustics engineering. It explores the design and …

Higher-order band topology

B Xie, HX Wang, X Zhang, P Zhan, JH Jiang… - Nature Reviews …, 2021 - nature.com
A conventional topological insulator (TI) has gapped bulk states but gapless edge states.
The emergence of the gapless edge states is dictated by the bulk topological invariant of the …

Topological photonic crystals: physics, designs, and applications

GJ Tang, XT He, FL Shi, JW Liu… - Laser & Photonics …, 2022 - Wiley Online Library
Recent research in topological photonics has not only proposed and realized novel
topological phenomena such as one‐way broadband propagation and robust transport of …

Topological metamaterials

X Ni, S Yves, A Krasnok, A Alu - Chemical Reviews, 2023 - ACS Publications
The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Topological phononic metamaterials

W Zhu, W Deng, Y Liu, J Lu, HX Wang… - Reports on Progress …, 2023 - iopscience.iop.org
The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

Higher-order Weyl semimetals

HX Wang, ZK Lin, B Jiang, GY Guo, JH Jiang - Physical Review Letters, 2020 - APS
Higher-order topology yields intriguing multidimensional topological phenomena, while
Weyl semimetals have unconventional properties such as chiral anomaly. However, so far …

Observation of fractal higher-order topological states in acoustic metamaterials

S Zheng, X Man, ZL Kong, ZK Lin, G Duan, N Chen… - Science Bulletin, 2022 - Elsevier
Topological phases of matter have been extensively investigated in solid-state materials and
classical wave systems with integer dimensions. However, topological states in non-integer …

Higher-order Weyl semimetals

SAA Ghorashi, T Li, TL Hughes - Physical review letters, 2020 - APS
We investigate higher-order Weyl semimetals (HOWSMs) having bulk Weyl nodes attached
to both surface and hinge Fermi arcs. We identify a new type of Weyl node, which we dub a …

Acoustic higher-order Weyl semimetal with bound hinge states in the continuum

Z Pu, H He, L Luo, Q Ma, L Ye, M Ke, Z Liu - Physical Review Letters, 2023 - APS
Higher-order topological phases have raised widespread interest in recent years with the
occurrence of the topological boundary states of dimension two or more less than that of the …

[HTML][HTML] Topological insulators and semimetals in classical magnetic systems

ZX Li, Y Cao, P Yan - Physics Reports, 2021 - Elsevier
Pursuing topological phases in natural and artificial materials is one of the central topics in
modern physical science and engineering. In classical magnetic systems, spin waves (or …