Thouless pumping provides one of the simplest manifestations of topology in quantum
systems and has attracted a lot of recent interest, both theoretically and experimentally …

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 …

The topological invariant of a topological insulator (or superconductor) is given by the
number of symmetry-protected edge states present at the Fermi level. Despite this fact …

Adiabatic cyclic modulation of a one-dimensional periodic potential will result in quantized
charge transport, which is termed the Thouless pump. In contrast to the original Thouless …

We report on the experimental implementation of a spin pump with ultracold bosonic atoms
in an optical superlattice. In the limit of isolated double wells, it represents a 1D dynamical …

We show how to implement topological or Thouless pumping of interacting photons in one-
dimensional nonlinear resonator arrays by simply modulating the frequency of the …

This book is the result of dynamic developments that have occurred in condensed matter
physics after the recent discovery of a new class of electronic materials: topological …

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 …

We consider periodic adiabatic processes of gapped many-body spinless electrons. We find
an additional contribution to the orbital magnetization due to the adiabatic time evolution …

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