Pursuing topological phases in natural and artificial materials is one of the central topics in
modern physical science and engineering. In classical magnetic systems, spin waves (or …

Robust boundary states epitomize how deep physics can give rise to concrete experimental
signatures with technological promise. Of late, much attention has focused on two distinct …

Topological band theory establishes a standardized framework for classifying different types
of topological matters. Recent investigations have shown that hyperbolic lattices in non …

Recently, a new family of symmetry-protected higher-order topological insulators has been
proposed and was shown to host lower-dimensional boundary states. However, with the …

The classification of topological insulators predicts the existence of high-dimensional
topological phases that cannot occur in real materials, as these are limited to three or fewer …

Higher-order topological insulator (HOTI) represents a new phase of matter, the
characterization of which goes beyond the conventional bulk-boundary correspondence and …

A peculiar feature of quantum states is that they may embody so-called projective
representations of symmetries rather than ordinary representations. Projective …

Three-dimensional (3D) two-band Hopf insulators are a paradigmatic example of topological
phases beyond the topological classifications based on powerful methods like K theory and …

Bloch oscillations are exotic phenomena describing the periodic motion of a wave packet
subjected to an external force in a lattice, where a system possessing single or multiple …

We highlight a general theory to engineer arbitrary Hermitian tight-binding lattice models in
electrical LC circuits, where the lattice sites are replaced by the electrical nodes, connected …