Design of a computational platform and study of superconductivity in novel rolled-up nanostructures

• Applicant: Professor Dr. Vladimir Fomin
• Subject Area: Theoretical Condensed Matter Physics
• Term: from 2018 to 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 403703960

Hybridization of reduced dimensionality with nontrivial geometry and topology in complex tree-dimensional superconductor structures fabricated using the strain-driven roll-up technology is a rich source of new superconductivity physics. The project is devoted to the design of a computational platform and its application for theoretical study of transport properties of novel rolled-up superconductor micro- and nanoarchitectures. The proponent possesses recognized expertise in theory of superconductor micro- and nanostructures based on the time-dependent Ginzburg-Landau equation and the numerical methods. The planned collaborators provide complementary competence: in large-scale computer simulations for multiphysics mathematical model (TPU Tomsk) and high-tech fabrication – strain-driven roll-up technology and experimental characterization (IIN IFW Dresden). A full three-dimensional numerical platform preserving the gauge invariance and including self-action and thermal effects in superconductor nanostructures will be developed. New regimes of vortex dynamics and transport are expected to occur due to the inductive coupling of vortices. The planned supercomputer simulations help in making experimental characterization of nanostructures less labor- and time-consuming. The transport mechanisms in the superconductor rolled-up structures will be identified and the stochastic effects in the Voltage-Current characteristics, originating from fluctuations of the transport current, the heating effect on the temperature and inhomogeneities will be investigated. The present project is aimed at getting insight in the superconducting phenomena in advanced nanoarchitectures and developing application-oriented design of their transport properties. The key goals of the present project are pertinent to the combined advancements for nanophysics, nanotechnology, fundamental science and applicative scope, e.g., for development of innovative microelectronic and fluxonic elements.

• DFG Programme: Research Grants