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 …

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 …

The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk
electronic band gap that supports the transport of charge and spin in gapless edge states …

A spin-1/2 system on a honeycomb lattice is studied. The interactions between nearest
neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of …

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

We systematically study topological phases of insulators and superconductors (or
superfluids) in three spatial dimensions. We find that there exist three-dimensional (3D) …

There are fundamental relations between three vast areas of physics: particle physics,
cosmology and condensed matter physics. The fundamental links between the first two …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

The topological invariants of a time-reversal-invariant band structure in two dimensions are
multiple copies of the Z 2 invariant found by Kane and Mele. Such invariants protect the …

It is shown that the" geometrical phase factor" recently found by Berry in his study of the
quantum adiabatic theorem is precisely the holonomy in a Hermitian line bundle since the …