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 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 …

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 …

In the presence of crystalline symmetries, certain topological insulators present a filling
anomaly: a mismatch between the number of electrons in an energy band and the number of …

The discoveries of intrinsically magnetic topological materials, including semimetals with a
large anomalous Hall effect and axion insulators,–, have directed fundamental research in …

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 …

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 electronic flattened bands near or at the Fermi level are a promising route
towards unconventional superconductivity and correlated insulating states. However, the …

Dirac and Weyl semimetals both exhibit arc-like surface states. However, whereas the
surface Fermi arcs in Weyl semimetals are topological consequences of the Weyl points …

Topological phases of matter have been extensively investigated in solid-state materials and
classical wave systems with integer dimensions. However, topological states in non-integer …