Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic
excitations that are protected by topology and symmetry. As three-dimensional analogs of …

The first-principles band theory paradigm has been a key player not only in the process of
discovering new classes of topologically interesting materials, but also for identifying salient …

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 …

We review the recent, mainly theoretical, progress in the study of topological nodal line
semimetals in three dimensions. In these semimetals, the conduction and the valence bands …

Oxide materials possess a vast range of functional properties, ranging from
superconductivity to multiferroicity, that stem from the interplay between the lattice, charge …

We theoretically study three-dimensional topological semimetals (TSMs) with nodal lines
protected by crystalline symmetries. Compared to TSMs with point nodes, eg, Weyl …

Heusler compounds, initially discovered by Fritz Heusler more than a century ago, have
grown into a family of more than 1,000 compounds, synthesized from combinations of more …

Complex oxides with 4 d and 5 d transition-metal ions recently emerged as a new paradigm
in correlated electron physics, due to the interplay between spin–orbit coupling and electron …

We discuss phenomena arising from the combined influence of electron correlation and spin-
orbit coupling (SOC), with an emphasis on emergent quantum phases and transitions in …

We study a class of Dirac semimetals that feature an eightfold-degenerate double Dirac
point. We show that 7 of the 230 space groups can host such Dirac points and argue that …