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 quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal
resistance, is the characteristic experimental fingerprint of Chern insulators—topologically …

The integer quantum anomalous Hall (QAH) effect is a lattice analogue of the quantum Hall
effect at zero magnetic field,–. This phenomenon occurs in systems with topologically non …

Topological semimetals (TSMs) are characterized by bulk band crossings in their electronic
structures, which are expected to give rise to gapless electronic excitations and topological …

The physics of quantum materials is dictated by many-body interactions and mathematical
concepts such as symmetry and topology that have transformed our understanding of matter …

The Berry curvature and quantum metric are the imaginary part and real part, respectively, of
the quantum geometric tensor, which characterizes the topology of quantum states. The …

The discovery and control of new phases of matter is a central endeavour in materials
research. The emergence of atomically thin 2D materials, such as transition-metal …

Recent research in topological photonics has not only proposed and realized novel
topological phenomena such as one‐way broadband propagation and robust transport of …

Diffusion driven by temperature or concentration gradients is a fundamental mechanism of
energy and mass transport that inherently differs from wave propagation in both physical …

A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …