First-principles calculations for topological quantum materials

J **s between symmetry and topology in solids
Z Song, T Zhang, Z Fang, C Fang - Nature communications, 2018 - nature.com
The study of spatial symmetries was accomplished during the last century and had greatly
improved our understanding of the properties of solids. Nowadays, the symmetry data of any …

General construction and topological classification of crystalline flat bands

D Călugăru, A Chew, L Elcoro, Y Xu, N Regnault… - Nature Physics, 2022 - nature.com
Exotic phases of matter can emerge from the interplay between strong electron interactions
and non-trivial topology. Materials that have non-dispersing bands in their electronic band …

Building blocks of topological quantum chemistry: Elementary band representations

J Cano, B Bradlyn, Z Wang, L Elcoro, MG Vergniory… - Physical Review B, 2018 - APS
The link between chemical orbitals described by local degrees of freedom and band theory,
which is defined in momentum space, was proposed by Zak several decades ago for …

Double crystallographic groups and their representations on the Bilbao Crystallographic Server

L Elcoro, B Bradlyn, Z Wang, MG Vergniory… - Journal of Applied …, 2017 - journals.iucr.org
A new section of databases and programs devoted to double crystallographic groups (point
and space groups) has been implemented in the Bilbao Crystallographic Server …

Experimental characterization of fragile topology in an acoustic metamaterial

V Peri, ZD Song, M Serra-Garcia, P Engeler, R Queiroz… - Science, 2020 - science.org
Symmetries crucially underlie the classification of topological phases of matter. Most
materials, both natural as well as architectured, possess crystalline symmetries. Recent …

Chemical principles of topological semimetals

LM Schoop, F Pielnhofer, BV Lotsch - Chemistry of Materials, 2018 - ACS Publications
Initiated by the discovery of topological insulators, topologically non-trivial materials have
attracted immense interest in the physics community in the past decade. One of the latest …