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 semimetals (TSMs) are characterized by bulk band crossings in their electronic
structures, which are expected to give rise to gapless electronic excitations and topological …

Symmetries of three-dimensional periodic scalar fields are described by 230 space groups
(SGs). Symmetries of three-dimensional periodic (pseudo) vector fields, however, are …

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

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 …

Magnetic topological insulators (TI) provide an important material platform to explore
quantum phenomena such as quantized anomalous Hall effect and Majorana modes, etc …

We review recent theoretical progress in the understanding and prediction of novel
topological semimetals. Topological semimetals define a class of gapless electronic phases …

Symmetry invariants of a group specify the classes of quasiparticles, namely the classes of
projective irreducible co-representations in systems having that symmetry. More symmetry …

Weyl fermions as emergent quasiparticles can arise in Weyl semimetals (WSMs) in which
the energy bands are nondegenerate, resulting from inversion or time-reversal symmetry …