Colloquium: Topological band theory

A Bansil, H Lin, T Das - Reviews of Modern Physics, 2016 - APS
The first-principles band theory paradigm has been a key player not only in the process of
discovering new classes of topologically interesting materials, but also for identifying salient …

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 …

First-principles calculations for topological quantum materials

J Xiao, B Yan - Nature reviews physics, 2021 - nature.com
Discoveries of topological states and topological materials have reshaped our
understanding of physics and materials over the past 15 years. First-principles calculations …

Topology and symmetry in quantum materials

B Singh, H Lin, A Bansil - Advanced Materials, 2023 - Wiley Online Library
Interest in topological materials continues to grow unabated in view of their conceptual
novelties as well as their potential as platforms for transformational new technologies …

Topological quantum materials from the viewpoint of chemistry

N Kumar, SN Guin, K Manna, C Shekhar… - Chemical …, 2020 - ACS Publications
Topology, a mathematical concept, has recently become a popular and truly
transdisciplinary topic encompassing condensed matter physics, solid state chemistry, and …

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 …

Band representations and topological quantum chemistry

J Cano, B Bradlyn - Annual Review of Condensed Matter …, 2021 - annualreviews.org
In this article, we provide a pedagogical review of the theory of topological quantum
chemistry and topological crystalline insulators. We begin with an overview of the properties …

Topological materials for functional optoelectronic devices

H Chorsi, B Cheng, B Zhao, J Toudert… - Advanced Functional …, 2022 - Wiley Online Library
The recent realization of topology as a mathematical concept in condensed matter systems
has shattered Landau's widely accepted classification of phases by spontaneous symmetry …

Topological quantum chemistry

B Bradlyn, L Elcoro, J Cano, MG Vergniory, Z Wang… - Nature, 2017 - nature.com
Since the discovery of topological insulators and semimetals, there has been much research
into predicting and experimentally discovering distinct classes of these materials, in which …

Topological insulators, topological superconductors and Weyl fermion semimetals: discoveries, perspectives and outlooks

MZ Hasan, SY Xu, G Bian - Physica Scripta, 2015 - iopscience.iop.org
Unlike string theory, topological physics in lower dimensional condensed matter systems is
an experimental reality since the bulk-boundary correspondence can be probed …