General information about the project
Transport properties of correlated hybrid nanostructures, involving molecules and atoms as well as
their artificial counterparts, coupled to external contacts are the subject of extensive theoretical and
experimental studies not only due to various fundamental aspects and new physical phenomena, but
also because of possible applications in nanoelectronics and quantum technologies for storing and
processing information. However, to further progress the development of quantum technologies or to
propose any working device, it is of crucial importance to fully understand the system’s behavior under
different conditions, involving both equilibrium and out-of-equilibrium situations as well as the
stationary and transient regimes. In this regard, a special attention has been recently paid to the timedependent
phenomena and dynamical quantum critical behavior triggered upon a controllable change
of the system’s parameters, which may lead to dynamical phase transitions – a counterpart of
conventional phase transitions but taking place in time. Up to now, such phase transitions have been
mainly studied in the case of global parameter changes, and only very recently it has been demonstrated
that the concept of dynamical phase transitions can be extended to mesoscopic hybrid systems involving
nanoscale objects. In such systems, local perturbations can be performed in a fully controllable fashion,
allowing for more flexible exploration of dynamical phenomena in artificial heterostructures.
The considerations
performed in this project will be based upon very accurate numerical methods, such as time-dependent
numerical renormalization group method, which allow for obtaining high-quality quantitative results
with all the correlations and interactions taken into account in an essentially exact manner. The planned
investigations and calculations will thus provide very reliable results for the time-dependent and
transport phenomena that will be of relevance to both theoretical and experimental works. Moreover,
our theoretical predictions shall foster further investigations of physical properties of hybrid nanoscale
systems and devices. Finally, because the research in the highly specialized areas, as described in this
proposal, is very important not only for fundamental science but also for high-tech industry and
innovation, the execution of the project will contribute to the development of new competitive and
environmental-friendly technologies.
Realization period: 17.01.2023 - 16.01.2027
List of publications
PUBLICATIONS:
Transient effects in quantum dots contacted via topological superconductor
Phys. Rev. B 110, 035413 (2024)
Cross-correlations between currents and tunnel magnetoresistance in interacting double quantum dot-Majorana wire system
Sci. Rep. 14, 7815 (2024)
Nonmonotonic buildup of spin-singlet correlations in a double quantum dot
Phys. Rev. B 108, 144307 (2023)