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 electronic materials, such as topological insulators, are distinct from trivial
materials in the topology of their electronic band structures that lead to robust …

Whereas ferromagnets have been known and used for millennia, antiferromagnets were
only discovered in the 1930s. At large scale, because of the absence of global …

The Hall effect, in which a current flows perpendicular to an electrical bias, has been
prominent in the history of condensed matter physics. Appearing variously in classical …

Magnetic topological insulators are narrow-gap semiconductor materials that combine non-
trivial band topology and magnetic order. Unlike their nonmagnetic counterparts, magnetic …

Topological states of quantum matter have attracted great attention in condensed matter
physics and materials science. The study of time-reversal-invariant topological states in …

The interplay of magnetism and topology is a key research subject in condensed matter
physics, which offers great opportunities to explore emerging new physics, such as the …

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 …

Over the past twenty-five years, mathematical concepts associated with geometric phases
have come to occupy a central place in our modern understanding of the physics of …

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