空心$d$波超导圆柱中$hc/2e$磁通量周期性的恢复
Restoration of $hc/2e$ Magnetic Flux Periodicity in a Hollow $d$-Wave Superconducting Cylinder
摘要：
本文研究了d波超导空心圆柱中序参量和超导电流与磁通量的关系。结果表明，在纯$d_{x^2-y^2}$配对态中，线节准粒子的存在导致了序参量的$hc/e$周期性和一阶量子相变.我们证明了超电流中的磁通周期性对详细的电子能带结构和电子填充因子是敏感的。特别是，我们发现，在合作的圆柱周长的增加，$hc/2e$周期性可以恢复显着的超电流通过避免粒子-空穴对称点。对$d_{x^2-y^2}+id_{xy}$配对态的类似研究证实了具有节点结构的非常规超导体的特殊性。
英文摘要：
The magnetic flux dependence of order parameter and supercurrent is studied in a hollow d-wave superconducting cylinder. It is shown that the existence of line nodal quasiparticles in a pure $d_{x^2-y^2}$ pairing state gives rise to an $hc/e$ periodicity in the order parameter and a first-order quantum phase transition for a large system size. We demonstrate that the flux periodicity in the supercurrent is sensitive to the detailed electronic band structure and electron filling factor. In particular, we find that, in cooperation with the increase of the cylinder circumference, the $hc/2e$ periodicity can be restored significantly in the supercurrent by avoiding the particle-hole symmetry point. A similar study of a $d_{x^2-y^2}+id_{xy}$ pairing state verifies the peculiarity of unconventional superconductors with nodal structure.
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