All topological bands of all nonmagnetic stoichiometric materials

MG Vergniory, BJ Wieder, L Elcoro, SSP Parkin… - Science, 2022 - science.org
Topological quantum chemistry and symmetry-based indicators have facilitated large-scale
searches for materials with topological properties at the Fermi energy (EF). We report the …

Encyclopedia of emergent particles in three-dimensional crystals

ZM Yu, Z Zhang, GB Liu, W Wu, XP Li, RW Zhang… - Science Bulletin, 2022 - Elsevier
The past decade has witnessed a surge of interest in exploring emergent particles in
condensed matter systems. Novel particles, emerged as excitations around exotic band …

Two-dimensional topological semimetals

X Feng, J Zhu, W Wu, SA Yang - Chinese Physics B, 2021 - iopscience.iop.org
The field of two-dimensional topological semimetals, which emerged at the intersection of
two-dimensional materials and topological materials, has been rapidly developing in recent …

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 …

Realizing exceptional points of any order in the presence of symmetry

S Sayyad, FK Kunst - Physical Review Research, 2022 - APS
Exceptional points (EPs) appear as degeneracies in the spectrum of non-Hermitian matrices
at which the eigenvectors coalesce. In general, an EP of order n may find room to emerge if …

Twofold quadruple Weyl nodes in chiral cubic crystals

T Zhang, R Takahashi, C Fang, S Murakami - Physical Review B, 2020 - APS
Unlike conventional Weyl nodes, unconventional ones carry a quantized monopole charge
C> 1, and their existence needs the protection of crystalline symmetries in addition to …

Three-nodal surface phonons in solid-state materials: Theory and material realization

C Xie, H Yuan, Y Liu, X Wang, G Zhang - Physical Review B, 2021 - APS
This year, Liu et al.[Phys. Rev. B 104, L041405 (2021) 2469-9950 10.1103/PhysRevB. 104.
L041405] proposed another class of topological phonons [TPs, ie, one-nodal surface (NS) …

Hourglass charge-three Weyl phonons

X Wang, F Zhou, Z Zhang, ZM Yu, Y Yao - Physical Review B, 2022 - APS
The unconventional Weyl point with nonlinear dispersion features higher topological charge|
C|> 1 and multiple topologically protected Fermi arc states at its boundary. As a novel …

Ideal unconventional Weyl point in a chiral photonic metamaterial

Y Yang, Z Gao, X Feng, YX Huang, P Zhou, SA Yang… - Physical Review Letters, 2020 - APS
Unconventional Weyl points (WPs), carrying topological charge 2 or higher, possess
interesting properties different from ordinary charge-1 WPs, including multiple Fermi arcs …

Type-II topological metals

S Li, ZM Yu, Y Yao, SA Yang - Frontiers of Physics, 2020 - Springer
Topological metals (TMs) are a kind of special metallic materials, which feature nontrivial
band crossings near the Fermi energy, giving rise to peculiar quasiparticle excitations. TMs …