Bogoliubov-de Gennes theory is used to investigate the effect of the size of a superconducting square on the vortex states in the quantum confinement regime. When the superconducting coherence length is comparable to the Fermi wavelength, the shape resonances of the superconducting order parameter have strong influence on the vortex configuration. Several unconventional vortex states, including asymmetric ones, giant multi-vortex combinations, and states comprising giant antivortex, were found as ground states and their stability was found to be very sensitive on the value of $k_Fξ_0$, the size of the sample $W$, and the magnetic flux $Φ$. By increasing the temperature and/or enlarging the size of the sample, quantum confinement is suppressed and the conventional mesoscopic vortex states as predicted by the Ginzburg-Laudau (GL) theory are recovered. However, contrary to the GL results we found that the states containing symmetry-induced vortex-antivortex pairs are stable over the whole temperature range. It turns out that the inhomogeneous order parameter induced by quantum confinement favors vortex-antivortex molecules, as well as giant vortices with a rich structure in the vortex core - unattainable in the GL domain.
Transverse vortex commensurability effect and sign change of the Hall voltage in superconducting YBa$_{2}$Cu$_{3}$O$_{7-δ}$ thin films with a nanoscale periodic pinning landscape
本文研究了高温超导体$_{2}$ O $_{7-δ}$的薄膜中人工周期钉扎阵列的横向霍尔电压。柱状缺陷区沿结晶$c$轴，其中超导性被抑制，通过照射与He $^+$离子通过硅模板掩模创建。磁通量量子与人工缺陷晶格的相称的安排被证实的临界电流的最大值和电阻的最小值，分别。的横向电压的磁场依赖性揭示了一个窄峰的霍尔系数与相反的极性相比，背景信号的可调性效果的特征。这种签名的涡匹配消失在较大的涡速度证实其密切的联系与增强钉扎的旋涡在周期性钉扎景观。
Vortex confinement through an unquantized magnetic flux
Pohang University of Science and Technology（浦项科技大学）；Seoul National University (SNU)（首尔大学）；Institute for Basic Science (IBS)（韩国基础科学研究所）；Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室）
Hysteretic vortex matching effects in high-$T_c$ superconductors with nanoscale periodic pinning landscapes fabricated by He ion beam projection technique
Unusual magneto-transport of YBa2Cu3O7-d films due to the interplay of anisotropy, random disorder and nanoscale periodic pinning
我们研究了一个流形的相互作用的弹性线的空间相关性的强烈影响随机和有序钉扎之间的竞争的一般问题。这是通过磁输运实验与YBa 2 Cu 3 O 7-d薄膜，包含一个周期性的涡旋钉扎阵列通过掩蔽离子照射，除了本地随机钉扎。我们观察到的强场匹配效应表明周期性钉扎的普遍存在，并表明在匹配场中每条涡旋线都束缚在人为钉扎位点上。然而，涡玻璃化转变的维度，准2D而不是通常的3D，证据减少沿涡线的涡玻璃相关性。这也支持了一个不寻常的角度依赖的磁阻，这大大不同于玻色玻璃系统。角磁阻的定量分析使我们能够将这种行为与系统各向异性的增强联系起来，这是离子辐照的附带效应。
Prediction of new superconducting bilayers heterostructures using quantum confinement and proximity effects
Politecnico di Torino（都灵理工大学）；National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)（国立核研究大学莫斯科工程物理学院）；University of Milan（米兰大学）；University of Göttingen（哥廷根大学）
