There are two prominent applications of the mathematical concept of topology to the physics
of materials: band topology, which classifies different topological insulators and semimetals …

The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …

In insulating crystals, it was previously shown that defects with two fewer dimensions than
the bulk can bind topological electronic states. We here further extend the classification of …

We demonstrate that dislocations in two-dimensional non-Hermitian systems can give rise to
density accumulation or depletion through the localization of an extensive number of states …

Three-dimensional higher-order topological semimetals in crystalline systems exhibit higher-
order Fermi arcs on one-dimensional hinges, challenging the conventional bulk-boundary …

We explore higher-order topological superconductivity in an artificial Dirac material with
intrinsic spin-orbit coupling, which is a doped Z 2 topological insulator in the normal state. A …

The bulk-boundary correspondence, which links a bulk topological property of a material to
the existence of robust boundary states, is a hallmark of topological insulators. However, in …

Topological materials occupy the central stage in the modern condensed matter physics
because of their robust metallic edge or surface states protected by the topological invariant …

Topological defects in solid-state materials are crystallographic imperfections that local
perturbations cannot remove. Owing to their nontrivial real-space topology, topological …

Topological mechanics is rapidly emerging as an attractive field of research where
mechanical waveguides can be designed and controlled via topological methods. With the …