Topological acoustics is an emerging field that lies at the intersection of condensed matter
physics, mechanical structural design and acoustics engineering. It explores the design and …

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 …

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

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

We introduce novel higher-order topological phases of matter in chiral-symmetric systems
(class AIII of the tenfold classification), most of which would be misidentified as trivial by …

We investigate disorder-driven topological phase transitions in quantized electric
quadrupole insulators in two dimensions. We show that chiral symmetry can protect the …

Quadrupole topological phases, exhibiting protected boundary states that are themselves
topological insulators of lower dimensions, have recently been of great interest. Extensions …

We identify the possibility of realizing higher order topological (HOT) phases in
noncrystalline or amorphous materials. Starting from two-and three-dimensional crystalline …

We propose a versatile framework to dynamically generate Floquet higher-order topological
insulators by multistep driving of topologically trivial Hamiltonians. Two analytically solvable …

The last 20 years have witnessed growing impacts of the topological concept on the
branches of physics, including materials, electronics, photonics, and acoustics. Topology …