Light and sound are the most ubiquitous forms of waves, associated with a variety of
phenomena and physical effects such as rainbows and echoes. Light and sound, both …

Topological materials discovery has evolved at a rapid pace over the past 15 years following
the identification of the first nonmagnetic topological insulators (TIs), topological crystalline …

Abstract Effects connected with the mathematical theory of knots emerge in many areas of
science, from physics, to biology. Recent theoretical work discovered that the braid group …

Topological features embedded in ancient braiding and knotting arts endow significant
impacts on our daily life and even cutting-edge science. Recently, fast growing efforts are …

The past decade has witnessed a surge of interest in exploring emergent particles in
condensed matter systems. Novel particles, emerged as excitations around exotic band …

In recent years, the notion of'Quantum Materials' has emerged as a powerful unifying
concept across diverse fields of science and engineering, from condensed-matter and …

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

Topological phases of matter connect mathematical principles to real materials, and may
shape future electronic and quantum technologies. So far, this discipline has mostly focused …

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

Thouless pumping enables topological transport and the direct measurement of topological
invariants. So far, realizations of Thouless pumping rely on the adiabatic evolution of a …