Classification of topological quantum matter with symmetries

CK Chiu, JCY Teo, AP Schnyder, S Ryu - Reviews of Modern Physics, 2016 - APS
Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

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 …

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 …

Average symmetry-protected topological phases

R Ma, C Wang - Physical Review X, 2023 - APS
Symmetry-protected topological (SPT) phases are many-body quantum states that are
topologically nontrivial as long as the relevant symmetries are unbroken. In this work we …

Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides ()

Z Wang, BJ Wieder, J Li, B Yan, BA Bernevig - Physical review letters, 2019 - APS
In recent years, transition metal dichalcogenides (TMDs) have garnered great interest as
topological materials. In particular, monolayers of centrosymmetric β-phase TMDs have …

Realization of a three-dimensional photonic topological insulator

Y Yang, Z Gao, H Xue, L Zhang, M He, Z Yang, R Singh… - Nature, 2019 - nature.com
Confining photons in a finite volume is highly desirable in modern photonic devices, such as
waveguides, lasers and cavities. Decades ago, this motivated the study and application of …

Topological superconductors: a review

M Sato, Y Ando - Reports on Progress in Physics, 2017 - iopscience.iop.org
This review elaborates pedagogically on the fundamental concept, basic theory, expected
properties, and materials realizations of topological superconductors. The relation between …

Axion physics in condensed-matter systems

DM Nenno, CAC Garcia, J Gooth, C Felser… - Nature Reviews …, 2020 - nature.com
Axions are hypothetical particles that were proposed to solve the strong charge–parity
problem in high-energy physics. Although they have long been known in quantum field …

Topological crystalline insulators and topological superconductors: From concepts to materials

Y Ando, L Fu - Annu. Rev. Condens. Matter Phys., 2015 - annualreviews.org
In this review, we discuss recent progress in the explorations of topological materials
beyond topological insulators; specifically, we focus on topological crystalline insulators and …

Dirac semimetals in two dimensions

SM Young, CL Kane - Physical review letters, 2015 - APS
Graphene is famous for being a host of 2D Dirac fermions. However, spin-orbit coupling
introduces a small gap, so that graphene is formally a quantum spin Hall insulator. Here we …