The one-dimensional (1D) Kitaev model in the topological phase, with open boundary
conditions, hosts Majorana zero modes. These are fermion parity-odd operators that almost …

Higher‐order topological insulators (HOTIs) have attracted great interest due to the
unconventional bulk‐boundary correspondence. However, the realization of HOTIs usually …

We study the disorder-induced phase transition of higher-order Weyl semimetals (HOWSMs)
and the fate of the topological features of disordered HOWSMs. We obtain a global phase …

The introduction of higher-order topological insulators featuring topological corner states
has been an extremely active topic for the generation of confined modes. Recent studies …

Macroscopic two-dimensional (2D) sonic crystals with inversion symmetry are studied to
reveal higher-order topological physics in classical wave systems. By tuning a single …

We derive a framework to apply topological quantum chemistry in systems subject to
magnetic flux. We start by deriving the action of spatial symmetry operators in a uniform …

Band topology of anomalous quantum Hall insulators can be precisely addressed by
computing the Chern numbers of constituent nondegenerate bands, describing the …

The interplay between magnetism and band topology is a focus of current research on
magnetic topological systems. Based on first-principle calculations and symmetry analysis …

Second-order topological insulators (SOTIs) are a class of materials hosting gapless bound
states at boundaries with dimension lower than the bulk by two. In this work, we investigate …

The discovery of quadrupole topology opens a new horizon in the study of topological
phenomena. However, the existing experimental realizations of quadrupole topological …