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

在用应变驱动卷起技术制备的复杂三维超导体结构中，降维与非平凡几何和拓扑的杂交是新超导物理的丰富来源。该项目致力于设计一个计算平台并将其应用于新型卷曲超导体微纳米结构的输运性质的理论研究。该提倡者在基于含时Ginzburg-Landau方程和数值方法的超导体微纳米结构理论方面拥有公认的专业知识。计划中的合作伙伴提供互补的能力：多物理数学模型(TPU Tomsk)的大规模计算机模拟以及高技术制造-应变驱动的卷曲技术和实验表征(IIN IFW Dresden)。我们将建立一个完整的三维数值平台，在超导体纳米结构中保持规范不变性，并考虑自作用和热效应。由于涡旋的感应耦合，新的涡旋动力学和输运机制有望出现。计划中的超级计算机模拟有助于减少对纳米结构的实验表征，减少人力和时间消耗。确定了超导卷绕结构中的输运机制，研究了输运电流起伏引起的伏安特性中的随机效应、温度效应和不均匀效应。本项目的目的是深入了解先进纳米结构中的超导现象，并开发其传输特性的面向应用的设计。本项目的主要目标与纳米物理、纳米技术、基础科学和应用范围的综合进展有关，例如开发创新的微电子元件和通量电子元件。

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.