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

在使用应变驱动卷起技术制造的复杂三维超导体结构中，降维与非平凡几何和拓扑的混合是新的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起超导体微纳米结构的输运性质的理论研究。提出者拥有公认的专业知识，在理论上的超导体微观和纳米结构的基础上，时间依赖的金斯堡-朗道方程和数值方法。计划中的合作者提供互补能力：多物理场数学模型的大规模计算机模拟（TPU托木斯克）和高科技制造-应变驱动的卷起技术和实验表征（IIN IFW德累斯顿）。一个完整的三维数值平台保持规范不变，包括超导体纳米结构的自作用和热效应将被开发。由于涡的感应耦合，预计将出现新的涡动力学和运输制度。计划中的超级计算机模拟有助于减少纳米结构的实验表征的劳动力和时间消耗。在超导体卷起的结构中的传输机制将被确定，并在电压-电流特性的随机效应，起源于传输电流的波动，对温度和不均匀性的加热效应将被调查。本项目旨在深入了解先进纳米结构中的超导现象，并开发其输运性质的面向应用的设计。本项目的主要目标是与纳米物理学、纳米技术、基础科学和应用范围的综合进步有关，例如，用于开发创新的微电子和磁通元件。

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.