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 quantum chemistry and symmetry-based indicators have facilitated large-scale
searches for materials with topological properties at the Fermi energy (EF). We report the …

In the presence of crystalline symmetries, certain topological insulators present a filling
anomaly: a mismatch between the number of electrons in an energy band and the number of …

Three-dimensional topological (crystalline) insulators are materials with an insulating bulk
but conducting surface states that are topologically protected by time-reversal (or spatial) …

We extend the theory of dipole moments in crystalline insulators to higher multipole
moments. As first formulated in Benalcazar et al.[Science 357, 61 (2017) SCIEAS 0036-8075 …

The mathematical field of topology has become a framework in which to describe the low-
energy electronic structure of crystalline solids. Typical of a bulk insulating three …

Second-order topological insulators are crystalline insulators with a gapped bulk and
gapped crystalline boundaries, but with topologically protected gapless states at the …

Symmetry-protected topological (SPT) phases are many-body quantum states that are
topologically nontrivial as long as the relevant symmetries are unbroken. In this work we …

Topological insulators are an emerging class of materials that host highly robust in-gap
surface or interface states while maintaining an insulating bulk,. Most advances in this field …