Topological phenomena at defects in acoustic, photonic and solid-state lattices

ZK Lin, Q Wang, Y Liu, H Xue, B Zhang… - Nature Reviews …, 2023 - nature.com
There are two prominent applications of the mathematical concept of topology to the physics
of materials: band topology, which classifies different topological insulators and semimetals …

Topological materials discovery from crystal symmetry

BJ Wieder, B Bradlyn, J Cano, Z Wang… - Nature Reviews …, 2022 - nature.com
Topological materials discovery has evolved at a rapid pace over the past 15 years following
the identification of the first nonmagnetic topological insulators (TIs), topological crystalline …

Axionic charge-density wave in the Weyl semimetal (TaSe4)2I

J Gooth, B Bradlyn, S Honnali, C Schindler, N Kumar… - Nature, 2019 - nature.com
An axion insulator is a correlated topological phase, which is predicted to arise from the
formation of a charge-density wave in a Weyl semimetal,—that is, a material in which …

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 …

Subsystem symmetry protected topological order

Y You, T Devakul, FJ Burnell, SL Sondhi - Physical Review B, 2018 - APS
In this work, we introduce a new type of topological order that is protected by subsystem
symmetries that act on lower-dimensional subsets of lattice many-body system, eg, along …

Spin-resolved topology and partial axion angles in three-dimensional insulators

KS Lin, G Palumbo, Z Guo, Y Hwang… - Nature …, 2024 - nature.com
Symmetry-protected topological crystalline insulators (TCIs) have primarily been
characterized by their gapless boundary states. However, in time-reversal-(T-) invariant …

A charge-density-wave topological semimetal

W Shi, BJ Wieder, HL Meyerheim, Y Sun, Y Zhang… - Nature Physics, 2021 - nature.com
Topological physics and strong electron–electron correlations in quantum materials are
typically studied independently. However, there have been rapid recent developments in …

Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects

S Yao, Z Yan, Z Wang - Physical Review B, 2017 - APS
Periodically driven (Floquet) systems have been under active theoretical and experimental
investigations. This paper aims at a systematic study in the following aspects of Floquet …

Pseudo-electromagnetic fields in 3D topological semimetals

R Ilan, AG Grushin, DI Pikulin - Nature Reviews Physics, 2020 - nature.com
Dirac and Weyl semimetals react to position-dependent and time-dependent perturbations,
such as strain, as if subject to emergent electromagnetic fields, known as pseudo-fields …

Interacting Weyl fermions: Phases, phase transitions, and global phase diagram

B Roy, P Goswami, V Juričić - Physical Review B, 2017 - APS
We study the effects of short-range interactions on a generalized three-dimensional Weyl
semimetal, where the band touching points act as the (anti) monopoles of Abelian Berry …