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

Mechanical metamaterials, also known as architected materials, are rationally designed
composites, aiming at elastic behaviors and effective mechanical properties beyond ('meta') …

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 …

Realizing a low-frequency and broad bandgap is extremely challenging because the lattice
constant, equivalent stiffness, and equivalent density must be taken into account in practice …

Higher-order topological insulators (HOTIs) are unique materials hosting topologically
protected states, whose dimensionality is at least by 2 lower than that of the bulk …

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 …

The combination of the non-Hermitian skin effect (NHSE) and topological effects plays a
crucial role in both fundamental and applied physics. Here, we show the interplay between …

Anomalous Floquet topological insulators with vanishing Chern numbers but supporting
chiral edge modes are attracting more and more attention. Since the existing anomalous …

The topologically protected elastic wave transport in hierarchical metamaterials for the in-
plane mode and out-of-plane mode is investigated in this work. First of all, the influence of …

We study linear and nonlinear higher-order topological insulators (HOTIs) based on
waveguide arrays arranged into Sierpiński gasket and Sierpiński carpet structures, both of …