A conventional topological insulator (TI) has gapped bulk states but gapless edge states.
The emergence of the gapless edge states is dictated by the bulk topological invariant of the …

Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

Current understanding of higher-order topological insulators (HOTIs) is based primarily on
crystalline materials. Here, we propose that HOTIs can be realized in quasicrystals …

High-order topological insulators (HOTIs), as generalized from topological crystalline
insulators, are characterized with lower-dimensional metallic boundary states protected by …

Recently, the studies of topological corner states (TCSs) have been extended from crystals
to quasicrystals, which are referred to as higher‐order topological quasicrystalline insulators …

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 …

A hyperbolic lattice allows for any p-fold rotational symmetry, in stark contrast to a two-
dimensional crystalline material, where only 2-fold, 3-fold, 4-fold, or 6-fold rotational …

The discovery of the Hat, an aperiodic monotile, has revealed novel mathematical aspects of
aperiodic tilings. However, the physics of particles propagating in such a setting remains …

Following a general protocol of periodically driving static first-order topological phases
(supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses …

The electron states in the quasicrystal (QC) are hot topics recently. While previous attentions
were focused on such intrinsic QCs as the Penrose lattice, the recent “twistronics” provides …