Progress and prospects in magnetic topological materials

BA Bernevig, C Felser, H Beidenkopf - Nature, 2022 - nature.com
Magnetic topological materials represent a class of compounds with properties that are
strongly influenced by the topology of their electronic wavefunctions coupled with the …

Topological phononic metamaterials

W Zhu, W Deng, Y Liu, J Lu, HX Wang… - Reports on Progress …, 2023 - iopscience.iop.org
The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

Provably efficient machine learning for quantum many-body problems

HY Huang, R Kueng, G Torlai, VV Albert, J Preskill - Science, 2022 - science.org
Classical machine learning (ML) provides a potentially powerful approach to solving
challenging quantum many-body problems in physics and chemistry. However, the …

A complete catalogue of high-quality topological materials

MG Vergniory, L Elcoro, C Felser, N Regnault… - Nature, 2019 - nature.com
Using a recently developed formalism called topological quantum chemistry, we perform a
high-throughput search of 'high-quality'materials (for which the atomic positions and …

Enumeration and representation theory of spin space groups

X Chen, J Ren, Y Zhu, Y Yu, A Zhang, P Liu, J Li, Y Liu… - Physical Review X, 2024 - APS
Fundamental physical properties, such as phase transitions, electronic structures, and spin
excitations, in all magnetic ordered materials, were ultimately believed to rely on the …

Non-Hermitian boundary modes and topology

DS Borgnia, AJ Kruchkov, RJ Slager - Physical review letters, 2020 - APS
We consider conditions for the existence of boundary modes in non-Hermitian systems with
edges of arbitrary codimension. Through a universal formulation of formation criteria for …

Spin space groups: Full classification and applications

Z Xiao, J Zhao, Y Li, R Shindou, ZD Song - Physical Review X, 2024 - APS
In this work, we exhaust all the spin space symmetries, which fully characterize collinear,
noncollinear, and commensurate spiral as well as incommensurate spiral magnetism, etc …

Magnetic topological quantum chemistry

L Elcoro, BJ Wieder, Z Song, Y Xu, B Bradlyn… - Nature …, 2021 - nature.com
For over 100 years, the group-theoretic characterization of crystalline solids has provided
the foundational language for diverse problems in physics and chemistry. However, the …

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 …

Topological phases of non-Hermitian systems

Z Gong, Y Ashida, K Kawabata, K Takasan… - Physical Review X, 2018 - APS
While Hermiticity lies at the heart of quantum mechanics, recent experimental advances in
controlling dissipation have brought about unprecedented flexibility in engineering non …