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

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 …

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 …

Spin–orbit coupling induces a unique form of Zeeman interaction in momentum space in
materials that lack inversion symmetry: the electron's spin is locked on an effective magnetic …

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 …

Among the major avenues that are being pursued for realizing quantum bits, the Majorana-
based approach has been the most recent to be launched. It attempts to realize qubits that …

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 quantum chemistry and symmetry-based indicators have facilitated large-scale
searches for materials with topological properties at the Fermi energy (EF). We report the …

Over the past twenty-five years, mathematical concepts associated with geometric phases
have come to occupy a central place in our modern understanding of the physics of …