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

Research team:

Prof. Ireneusz Weymann (PI)

Kacper Wrześniewski

Emil Siuda

List of publications

PUBLICATIONS:

  1. R. Taranko, K. Wrześniewski, I. Weymann, T. Domański
    Transient effects in quantum dots contacted via topological superconductor
    Phys. Rev. B 110, 035413 (2024)
  2. K. Wrześniewski, I. Weymann
    Cross-correlations between currents and tunnel magnetoresistance in interacting double quantum dot-Majorana wire system
    Sci. Rep. 14, 7815 (2024)
  3. K. Wrześniewski, T. Ślusarski, I. Weymann
    Nonmonotonic buildup of spin-singlet correlations in a double quantum dot
    Phys. Rev. B 108, 144307 (2023)