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 …

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 …

The Hall effect, in which a current flows perpendicular to an electrical bias, has been
prominent in the history of condensed matter physics. Appearing variously in classical …

Ever since its discovery the notion of Berry phase has permeated through all branches of
physics. Over the past three decades it was gradually realized that the Berry phase of the …

We consider the change in polarization ΔP which occurs upon making an adiabatic change
in the Kohn-Sham Hamiltonian of the solid. A simple expression for ΔP is derived in terms of …

This review elaborates pedagogically on the fundamental concept, basic theory, expected
properties, and materials realizations of topological superconductors. The relation between …

One of the most striking phenomena in condensed-matter physics is the quantum Hall effect,
which arises in two-dimensional electron systems,,, subject to a large magnetic field applied …

Applications of conformal field theory to the theory of fractional quantum Hall systems are
discussed. In particular, Laughlin's wave function and its cousins are interpreted as …

Differential geometry and topology have become essential tools for many theoretical
physicists. In particular, they are indispensable in theoretical studies of condensed matter …

A new mathematical framework for the Wess-Zumino chiral effective action is described. It is
shown that this action obeys an a priori quantization law, analogous to Dirac's quantization …