During the recent decades it become feasible to manufacture semiconductor devices
Quantum dots represent the archetypical zero-dimensional systems, which can be
with sizes of 10-100nm. At these scales quantum
effects dominate almost all properties
of such systems including their conductivity, a
detailed knowledge of which is necessary
to be able to design the circuitry of the future
nanoelectronics. Quantum transport theory
is trying to answer these questions.
regarded as nanoscopic analogons of conventional transistors. It turns out that their
properties are dominated by electron-electron interactions, which are responsible for such
interesting phenomena as Coulomb blockade and Kondo effect. Current research
concentrates on their non-linear
transport properties, transient phenomena taking place
just after some of the parameters
are abruptly changed as well as the charge and spin
transfer statistics (aka full
counting statistics) in the stationary state.
The most remarkable fact about the ultracold gases
is the possibility of manipulating their
parameters in almost every possible way.
Especially interesting is the availability of
"taylored" interactions, which
are almost impossible to realise with solid state set-ups.
This makes ultracold gases
to an ideal testing ground for investigations of strong
effects in condensed matter. We are working on different projects
involving genuine BEC
condensates in optical traps as well as ultracold Rydberg gases.
Strongly correlated systems are responsible for a large number of intersting and not yet
- Strongly correlated systems
properly understood multi-particle phenomena such as
and fractional quantum Hall effect. Despite an
enormous progress in this fields during the
last 20 years there is still an abyss of open
problems. We are trying to apply the methods
of bosonization, renormalisation group, conformal
field theory as well as using
integrability methods in order to understand the transport
properties of such systems.
The electronic degrees of freedom in carbon nanotubes are usually strongly correlated due
to dimensional confinement to (quasi-)1D geometry. In strictly 1D
they are known to be
adequately described by the universality class of
Tomonaga-Luttinger liquids. Because of
their extraordinary mechanical and electrical
properties carbon nanotubes became one
of the possible candidates for the basis material in nanoelectronics. We are conducting
research aiming at understanding of their transport properties.