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 this report we review the present state of the art of the control of propagating quantum
states at the single-electron level and its potential application to quantum information …

Topological charge pumping enables the transport of charge through an adiabatic cyclic
evolution of the underlying Hamiltonian. In contrast to classical transport, the transported …

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 …

Transport phenomena in spatially periodic systems far from thermal equilibrium are
considered. The main emphasis is put on directed transport in so-called Brownian motors …

The control of electrons at the level of the elementary charge e was demonstrated
experimentally already in the 1980s. Ever since, the production of an electrical current ef, or …

Electrons in a metal are indistinguishable particles that interact strongly with other electrons
and their environment. Isolating and detecting a single flying electron after propagation, in a …

We show that electric current can be generated in metallic carbon nanotubes immersed in
liquids flowing along them. Molecular layers of the liquid coat the nanotube, slip along its …

An exact analytical expression for the effective diffusion coefficient of an overdamped
Brownian particle in a tilted periodic potential is derived for arbitrary potentials and arbitrary …

Single-electronics is a fascinating technology which reveals new physical effects of charge
transport. It has many benefits and great figure of merits but also several open challenges …