Quantum topological photonics is a new research field with great potential that is based on
developments in both quantum optics and topological photonics. Topological photonics …

Second-order topological insulators are crystalline insulators with a gapped bulk and
gapped crystalline boundaries, but with topologically protected gapless states at the …

In a topological insulator (TI) the character of electron transport varies from insulating in the
interior of the material to metallic near its surface. Unlike, however, ordinary metals …

Quasiperiodic lattices have recently been shown to be a nontrivial topological phase of
matter. Charge pumping—one of the hallmarks of topological states of matter—was recently …

The aim of this book is to introduce the basic elements of the scattering matrix approach to
transport phenomena in dynamical quantum systems of non-interacting electrons. This …

That disorder can induce nontrivial topology is a surprising discovery in topological physics.
As a typical example, Chern topological Anderson insulators (TAIs) have been realized in …

A number of recent articles have reported the existence of topologically nontrivial states and
associated end states in one-dimensional incommensurate lattice models that would usually …

Many robust physical phenomena in quantum physics are based on topological invariants
arising due to intriguing geometrical properties of quantum states. Prime examples are the …

Certain band insulators allow for the adiabatic pumping of quantized charge or spin for
special time dependences of the Hamiltonian. These “topological pumps” are closely related …

Semiconducting nanowires with strong spin-orbit coupling in the presence of induced
superconductivity and ferromagnetism can support Majorana zero modes. We study the …