We deal with the nanoscale superconductivity. Vortex configurations of superconducting 3D nano disk and square placed on the top of a dipole are studied by phenomenological Ginzburg-Landau (GL) formalism. Gibbs free energy is observed to identify the stability range of different vortex state. Effect of the confinement to the vortex flow is investigated by time dependent GL equation. Amount of flux is determined by the potential difference and only giant vortex state are observed for the dipole. In the presence of transport current and magnetic field, voltage-current characteristics of nano-sized disk and square are obtained. Depairing current of the sample are studied with applied field. Maximum dissipation-less current of disk/square has shown the Quantum oscillation.

我们处理纳米级超导性。通过现象学的Ginzburg-Landau（GL）形式主义研究了超导3D纳米盘和置于偶极子顶部的正方形的涡旋结构。观察到吉布斯自由能来确定不同涡旋状态的稳定性范围。通过时间相关的GL方程研究了约束对涡流的影响。磁通量由电势差决定，偶极子仅观察到巨大的涡旋状态。在存在传输电流和磁场的情况下，获得了纳米大小的圆盘和正方形的电压-电流特性。研究了样品的去皮电流与外加磁场的关系。磁盘/平方的最大无耗电流已显示出量子振荡。