With significant advances in classifying and cataloguing topological matter, the focus of
topological physics has shifted towards quantum control, particularly the creation and …

Topological superconductivity (TSC) has drawn much attention for its fundamental interest
and application in quantum computation. An outstanding challenge is the lack of intrinsic …

Topological materials usually possess protected gapless states in either the boundary or
bulk, exhibiting various properties such as spin-momentum locking, Klein tunneling, Fermi …

Band topology is both constrained and enriched by the presence of symmetry. The
importance of antiunitary symmetries such as time reversal was recognized early on leading …

Energy band nodal structures (nodal points/lines/surfaces) in the Brillouin zone (BZ) have
received immense research interest in the past decade, while their complete classification is …

The theory of symmetry indicators has enabled database searches for topological materials
in normal conducting phases, which has led to several encyclopedic topological material …

Locally noncentrosymmetric structures in crystals are attracting much attention owing to
emergent phenomena associated with the sublattice degree of freedom. The newly …

Linearly dispersive gapless quasiparticles can appear at general momentum points or on
high-symmetry momentum lines of superconductors because of topological reasons such as …

Crystallographic symmetries enforcing band touchings (BTs) in the Brillouin zone (BZ) have
been utilized to classify and predict the topological semimetals. Though the early proposed …

We derive two fundamental laws of chiral band crossings:(i) a local constraint relating the
Chern number to phase jumps of rotation eigenvalues and (ii) a global constraint …