Emergent electronic phenomena in iron-based superconductors have been at the forefront
of condensed matter physics for more than a decade. Much has been learned about the …

The field of topological photonic crystals has attracted growing interest since the inception of
optical analog of quantum Hall effect proposed in 2008. Photonic band structures embraced …

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 …

Higher-order topological insulators are newly proposed topological phases of matter, whose
bulk topology manifests as localized modes at two-or higher-dimensional lower boundaries …

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 …

The notion of higher-order topological insulators has endowed materials with topological
states beyond the first order. Particularly, a three-dimensional (3D) higher-order topological …

We investigate higher-order Weyl semimetals (HOWSMs) having bulk Weyl nodes attached
to both surface and hinge Fermi arcs. We identify a new type of Weyl node, which we dub a …

The recent discovery of higher-order topological insulators (TIs) has opened new
possibilities in the search for novel topological materials and metamaterials. Second-order …

Recent theoretical studies have extended the Berry phase framework to account for higher
electric multipole moments; quadrupole and octupole topological phases have been …