Abstract:

The goal of the lecture is to give a comprehensive introduction to the problems and recent advances of mesoscopic physics with a special emphasis on the electronic transport phenomena. We begin with a discussion of relevant energy and length scales at which the quantum physics reveals itself in simple current-voltage relations of metallic samples. Electronic properties of low-dimensional systems such as quantum wires and quantum dots will be discussed next. Then we proceed to such fascinating phenomena as integer/quantum Hall, Aharonov-Bohm, weak localisation, Kondo effects and universal conductance fluctuations. We shall learn how the Coulomb-blockade comes about and close the course with the discussion of newly discovered carbon nanotubes and graphene. Along with the presentation of the theoretical concepts we shall dive into the details of experimental realisations of such systems and their practical applications.

Contents:

- electrons in metals

- quantum wires and quantum dots

- conductance quantisation

- single electron transistor, Coulomb-blockadeIn

- integer/quantum Hall effects

- Aharonov-Bohm oscillations, universal conductance

fluctuations

- nanoelectromechanical systems

- transport in carbon nanotubes and graphene

Literature:

Y. Nazarov and Y.Blanter, Quantum transport: introduction to

nanoscience, Cambridge University Press 2009

S. Datta, Electronic transport in mesoscopic systems, Cambridge University Press 1995

T. Heinzel, Mesoscopic Electronics in Solid State Nanostructures, Viley-VCH 2003

D.K.Ferry, S.M.Goodnick, Transport in Nanostructures, Cambridge University Press 1997