Quasiclassical numerical method for mesoscopic superconductors: Bound states in a circulard-wave island with a single vortex
Quasiclassical numerical method for mesoscopic superconductors: Bound states in a circulard-wave island with a single vortex
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介观超导体的准经典数值方法：单涡旋圆波岛中的束缚态
DOI：
10.1103/physrevb.86.094526
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
N. Hayashi
中科院分区：
文献类型：
--
作者：
Y. Nagai;K. Tanaka;N. Hayashi
我们展示了一个有效的数值方法，获得独特的解决方案，一个介观或纳米尺度超导体的艾伦伯格方程。特别地，我们计算了包含单个涡旋的圆形d波岛的局域态密度。在这样的小系统中，“涡影”效应强烈地依赖于准粒子能量。我们展示了如何用几何方法构造边界有镜面反射的有限尺寸系统中的准粒子轨道，并讨论了d波超导体中节状准粒子和零能量通过涡旋中心的准粒子在序参量为零的情况下数值解的稳定性.
We demonstrate an efficient numerical method for obtaining unique solutions to the Eilenberger equation for a mesoscopic or nanoscale superconductor. In particular, we calculate the local density of states of a circular d-wave island containing a single vortex. The "vortex shadow" effect is found to strongly depend on the quasiparticle energy in such small systems. We show how to construct by geometry quasiparticle trajectories confined in a finite-size system with specular reflections at the boundary, and discuss the stability of the numerical solutions even in the case of vanishing order parameter as for nodal quasiparticles in a d-wave superconductor, or for quasiparticles passing through the vortex center with zero energy.