Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

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 electronic materials such as bismuth selenide, tantalum arsenide and sodium
bismuthide show unconventional linear response in the bulk, as well as anomalous gapless …

We present a method for efficiently enumerating all allowed, topologically distinct, electronic
band structures within a given crystal structure in all physically relevant dimensions. The …

The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

We propose and characterize a new Z 2 class of topological semimetals with a vanishing
spin-orbit interaction. The proposed topological semimetals are characterized by the …

Second-order topological insulators and superconductors have a gapped excitation
spectrum in bulk and along boundaries, but protected zero modes at corners of a two …

We study the bulk-boundary correspondence for topological crystalline phases, where the
crystalline symmetry is an order-two (anti) symmetry, unitary or antiunitary. We obtain a …

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 …

Spatial symmetries in crystals may be distinguished by whether they preserve the spatial
origin. Here we study spatial symmetries that translate the origin by a fraction of the lattice …