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 …

The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

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

The mathematical foundation of quantum mechanics is built on linear algebra, while the
application of nonlinear operators can lead to outstanding discoveries under some …

The discovery of higher‐order topological insulator metamaterials, in analogy with their
condensed‐matter counterparts, has enabled various breakthroughs in photonics …

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 …

Electronic materials harbor a plethora of exotic quantum phases, ranging from
unconventional superconductors to non-Fermi liquids and, more recently, topological …

Recently, higher-order topological insulators have been attracting extensive interest. Unlike
the conventional topological insulators that demand bulk gap closings at transition points …

Topological pumping connects the topological features of a modulated system with its
transport behavior. It provides a powerful means for robust topological transport between …

We propose to realize Dirac states in an inclined two-dimensional Su-Schrieffer-Heeger
model on a square lattice. We show that a pair of Dirac points protected by space-time …