Theoretical fundamentals of the emerging electronic phenomena in CUrved SupercONDuctor nanoArchitectures (CUSONDA)

弯曲超导体纳米结构中新兴电子现象的理论基础（CUSONDA）

• 批准号: 440761189
• 负责人: Professor Dr. Vladimir Fomin
• 金额: --
• 依托单位: Institut für Festkörperforschung
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2020
• 资助国家: 德国
• 起止时间: 2019-12-31 至 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/440761189?language=en
• 关键词: Theoretical; fundamentals; emerging; electronic; phenomena

While all fundamental laws of nature are formulated locally, topology finds wide application in analysis of laws and patterns springing out of global structure of the system under consideration, providing new effects and phenomena. The objective of the present project is to elaborate conceptual fundamentals and to analyze topologic matter and its possible geometric design in curved superconductor micro- and nanostructures. It is motivated by the ongoing progress in fabrication of complex 3D nanoarchitectures (like open nanotubes and nanohelices with single or multiple chiralities) by using the advanced 3D roll-up self-organization and nanoprinting techniques based on focused ion beams. The emerging nanoarchitectures lead to occurrence of totally novel, counterintuitive properties of superconductors and thereby promise a significant improvement of the figures-of-merit as compared to the available devices. The vortex dynamics and phase slip phenomena as a main reason for dissipation are the keys for understanding the transport characteristics of superconductors. Our preliminary measurements and simulations indicate a very complex superconducting-to-normal resistive transition, which makes it an ambitious task, to unveil possible underlying mechanisms. To this end, it is necessary to perform a dedicated theoretical analysis and numerical simulations, because a direct experimental visualization of vortex dynamics or phase slips on the ns-timescale is not possible with the present technology. While the implications of curvature properties have been unveiled for the topology of the Ginzburg-Landau functional defined on a compact Riemannian manifold, the effects of curvature in confined spaces remain terra incognita. Therefore, in our proposal we apply for support regarding mutually potentiating theoretical analysis and numerical simulations of perspective for applications superconductor nanoarchitectures concerted with ongoing experiments.

虽然所有的基本自然定律都是局部的，但拓扑学在分析从所考虑的系统的全局结构中产生的定律和模式时有着广泛的应用，提供了新的效应和现象。本项目的目标是阐述概念基础，并分析拓扑物质及其可能的几何设计弯曲超导体微和纳米结构。它的动机是通过使用先进的3D卷起自组织和基于聚焦离子束的纳米打印技术来制造复杂的3D纳米结构（如具有单个或多个手性的开放纳米管和纳米螺旋）。新兴的纳米结构导致超导体的全新的、违反直觉的性质的发生，从而与现有的器件相比，有望显著改善品质因数。涡旋动力学和相滑移现象是超导体耗散的主要原因，是理解超导体输运特性的关键。我们的初步测量和模拟表明，一个非常复杂的超导到正常的电阻过渡，这使得它成为一个雄心勃勃的任务，揭示可能的潜在机制。为此，有必要进行专门的理论分析和数值模拟，因为使用本技术不可能在ns时间尺度上直接实验可视化涡旋动力学或相位滑移。虽然在紧致黎曼流形上定义的Ginzburg-Landau泛函的拓扑中，曲率性质的含义已经被揭示出来，但在有限空间中曲率的影响仍然是未知的。因此，在我们的提案中，我们申请支持关于相互增强的理论分析和数值模拟的应用前景超导纳米架构与正在进行的实验相结合。