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 …

Multiorbital model reveals a second-order topological insulator in transition metal dichalcogenides

J Zeng, H Liu, H Jiang, QF Sun, XC Xie - Physical Review B, 2021 - APS
Recently, a new class of second-order topological insulators (SOTIs) characterized by an
electronic dipole has been theoretically introduced and proposed to host topological corner …

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 …

Graphyne as a second-order and real Chern topological insulator in two dimensions

C Chen, W Wu, ZM Yu, Z Chen, YX Zhao, XL Sheng… - Physical Review B, 2021 - APS
Higher-order topological phases and real topological phases are two emerging topics in
topological states of matter, which have been attracting considerable research interest …

All-dielectric photonic crystal with unconventional higher-order topology

S Wu, B Jiang, Y Liu, JH Jiang - Photonics Research, 2021 - opg.optica.org
Photonic crystals (PhCs) have been demonstrated as a versatile platform for the study of
topological phenomena. The recent discovery of higher-order topological insulators …

Manipulation of coupling between topological edge state and corner state in photonic crystals

YF Gao, YH He, A Maimaiti, MC Jin, Y He… - Optics & Laser …, 2022 - Elsevier
Topological photonic crystals whose topological protection makes them very robust against
perturbations offer a new way of manipulating photons in micro/nano-photonic devices. In …

Higher-order topological states in two-dimensional Stampfli-Triangle photonic crystals

Y Peng, E Liu, B Yan, J Xie, A Shi, P Peng, H Li, J Liu - Optics Letters, 2022 - opg.optica.org
In this Letter, the higher-order topological state (HOTS) and its mechanism in two-
dimensional Stampfli-Triangle (2D ST) photonic crystals (PhCs) is explored. The topological …

Antiferromagnetic second-order topological insulator with fractional mass-kink

H Mu, G Zhao, H Zhang, Z Wang - npj Computational Materials, 2022 - nature.com
Generally, the topological corner state in two-dimensional (2D) second-order topological
insulator (SOTI) is equivalent to the well-known domain wall state, which is originated from …

Intrinsic second-order topological insulator in two-dimensional covalent organic frameworks

T Hu, T Zhang, H Mu, Z Wang - The Journal of Physical Chemistry …, 2022 - ACS Publications
As an intriguing topological phase, higher-order topological insulators have attracted
tremendous attention, but the candidate materials are limited in artificial and inorganic …