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 …

Experimental perspective on three-dimensional topological semimetals

BQ Lv, T Qian, H Ding - Reviews of Modern Physics, 2021 - APS
Topological semimetals (TSMs) are characterized by bulk band crossings in their electronic
structures, which are expected to give rise to gapless electronic excitations and topological …

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 …

Non-hermitian physics

Y Ashida, Z Gong, M Ueda - Advances in Physics, 2020 - Taylor & Francis
A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Generalized bulk–boundary correspondence in non-Hermitian topolectrical circuits

T Helbig, T Hofmann, S Imhof, M Abdelghany… - Nature Physics, 2020 - nature.com
The study of the laws of nature has traditionally been pursued in the limit of isolated systems,
where energy is conserved. This is not always a valid approximation, however, as the …

Exceptional topology of non-Hermitian systems

EJ Bergholtz, JC Budich, FK Kunst - Reviews of Modern Physics, 2021 - APS
The current understanding of the role of topology in non-Hermitian (NH) systems and its far-
reaching physical consequences observable in a range of dissipative settings are reviewed …

A second wave of topological phenomena in photonics and acoustics

X Zhang, F Zangeneh-Nejad, ZG Chen, MH Lu… - Nature, 2023 - nature.com
Light and sound are the most ubiquitous forms of waves, associated with a variety of
phenomena and physical effects such as rainbows and echoes. Light and sound, both …

Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits

D Zou, T Chen, W He, J Bao, CH Lee, H Sun… - Nature …, 2021 - nature.com
Robust boundary states epitomize how deep physics can give rise to concrete experimental
signatures with technological promise. Of late, much attention has focused on two distinct …

Electrical circuit realization of topological switching for the non-Hermitian skin effect

H Zhang, T Chen, L Li, CH Lee, X Zhang - Physical Review B, 2023 - APS
Non-Hermitian systems reveal rich physics beyond the Hermitian regime, and have aroused
great interest. One remarkable physical phenomenon is the non-Hermitian skin effect …

Nonlinear topological photonics

D Smirnova, D Leykam, Y Chong… - Applied Physics Reviews, 2020 - pubs.aip.org
Rapidly growing demands for fast information processing have launched a race for creating
compact and highly efficient optical devices that can reliably transmit signals without losses …