Over the past decade, topology has emerged as a major branch in broad areas of physics,
from atomic lattices to condensed matter. In particular, topology has received significant …

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 …

Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

In crystals, two bands may cross each other and form degeneracies along a closed loop in
the three-dimensional momentum space, which is called nodal line. Nodal line degeneracy …

Three-dimensional topological nodal lines, the touching curves of two bands in momentum
space, which give rise to drumhead surface states, provide an opportunity to explore a …

Room-temperature superconductivity has been one of the most challenging subjects in
modern physics. Recent experiments reported that lanthanum hydride LaH 10±x (x< 1) …

Although topological band theory has been used to discover and classify a wide array of
novel topological phases in insulating and semimetal systems, it is not well suited to …

Originally a pure mathematical concept, topology has been vigorously developed in various
physical systems in recent years, and underlies many interesting phenomena such as the …

Nodal lines are degeneracies formed by crossing bands in three-dimensional momentum
space. Interestingly, these degenerate lines can chain together via touching points and …

In analogy to various fermions of electrons in topological semimetals, topological
mechanical states with two types of bosons, Dirac and Weyl bosons, were reported in some …