- Quantum transport

During the recent decades it become feasible to manufacture semiconductor devices

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.

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.

- Quantum dots

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.

- Ultracold gases

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

correlation/interaction 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

properly understood multi-particle phenomena such as high-temperature superconductivity

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.

- Carbon nanotubes

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.

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.