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

Topological electronic materials, such as topological insulators, are distinct from trivial
materials in the topology of their electronic band structures that lead to robust …

The importance of global band topology is unequivocally recognized in condensed matter
physics, and new states of matter, such as topological insulators, have been discovered …

One of the intriguing properties characteristic to three-dimensional topological materials is
the topological magnetoelectric phenomena arising from a topological term called the θ …

The “magnetoelectric effect” arises from the coupling between magnetic and electric
properties in materials. The Z 2 invariant of topological insulators (TIs) leads to a quantized …

Axions are hypothetical particles that were proposed to solve the strong charge–parity
problem in high-energy physics. Although they have long been known in quantum field …

This tutorial provides an intuitive and concrete description of the phenomena of
electromagnetic nonreciprocity that will be useful for readers with engineering or physics …

Weyl fermions were originally proposed as massless Dirac fermions in relativistic quantum
field theory. In solids, Weyl fermions often appear when either time-reversal symmetry or …

Topological insulators (TIs) provide intriguing prospects for the future of spintronics due to
their large spin–orbit coupling and dissipationless, counter‐propagating conduction …

Topological states of quantum matter have been investigated intensively in recent years in
materials science and condensed matter physics. The field developed explosively largely …