掺杂对准二维s波超导纳米器件性能影响的理论研究

项目名称： 掺杂对准二维s波超导纳米器件性能影响的理论研究

项目编号： No.11304134

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 数理科学和化学

项目作者： 陈亚江

作者单位： 丽水学院

项目金额： 20万元

中文摘要： 随着电子元器件微型化的迅速推进以及纳米器件制备技术的显著进步，研究纳米超导器件性能已成为超导研究领域的重要方向，并具有重大的现实意义。本项目在我们前期对无杂质高质量s波超导纳米器件超导特性研究工作的基础上，拟采用半解析方法和有限差分方法求解净极限下含杂质散射势Bogoliubov-de Gennes方程研究准二维s波超导纳米器件中的磁性和非磁性杂质效应，揭示纳米器件中边界量子束缚对杂质作用的影响。本课题中，首先研究单个杂质对其局域态密度、准粒子束缚态、对势、自由能和涡旋态等的影响；然后研究杂质效应对纳米超导器件特征尺度的依赖关系；再研究方型和三角型杂质阵列对超导纳米器件的局域态密度和涡旋态的作用规律；最后设计适当的杂质排布阵列，用于控制准二维s波超导纳米器件中涡旋态的演变行为，以期为具体的实验研究提供理论指导。

中文关键词： 纳米超导；杂质效应；涡旋；准二维；Bogoliubov-de Gennes 方程

英文摘要： With the rapid progress of miniaturisation of electronic components and nanofabrication technology, the study of the superconductivity of nano-scale devices has become a very important aspect in the researching of superconductivity and has great meaning of reality. Based on our previous study on the superconductivity of impurity-free nano-scale s-wave superconducting devices, we propose to study the magnetic and non-magnetic impurity effects in quasi-two-dimensional nano-scale s-wave superconductors and find out the influence of quantum confinement from the boundary on the impurity effects. The Bogoliubov-de Gennes equations with scattering potential of impurities in clean limit are proposed to be solved by using the semi-analytical method and finite difference method. In the progress of this project, first, we investigate the effects of a single impurity on the local density of states, quasiparticle bound states, the pair potential, free energy, vortex states, and so on. Second, we study the dependence of impurity effects on the characteristic length of nano-scale superconductors. Third, we focus on the effects of the rectangular and triangular arrays of impurities on the local density of states and vortex states. In order to offer a theoretical guidance for particular experimental researches, the last goal of

英文关键词： nanoscale superconductivity；impurity effects；vortex；quasi-two dimensional；Bogoliubov-de Gennes equations