Abstract

Based on a model Hamiltonian including the on-site repulsive interaction among the electrons, we investigate the spatial configurations of mixed spin-triplet (dominant p-wave) and spin-singlet (coexisted s-wave and d-wave) pairing symmetries in bulk superconducting systems by numerically solving the Bogoliubov–de Gennes equations. The influences of the Zeeman field and the next-nearest-neighbor hopping on the order-parameter modulations are mainly discussed. Besides the quantized vortex states with point-like cores, the unclosed vortex chains and enclosed skyrmionic modes can remain stable in the present bulk sample. Furthermore, nonuniform patterns of the vortex lattice and the elliptical-like vortices can be obtained at appropriate applied flux. The corresponding zero-energy local density of states as well as the relative phase differences useful to display the skyrmionic texture are provided

Graphic abstract

中文翻译：

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具有混合配对顺序的散装超导系统中的涡流模式

摘要

基于包含电子之间的现场排斥相互作用的哈密顿量模型，我们研究了混合的自旋三重态（占主导地位的p波）和自旋-单重态（共存的s波和d波）的空间构型通过数值求解Bogoliubov-de Gennes方程组，在超导系统中实现双波对称对称。主要讨论了塞曼场和下一近邻跳频对阶跃参数调制的影响。除了具有点状核的量化涡旋状态外，未封闭的涡旋链和封闭的天体离子模式在目前的大体积样品中也可以保持稳定。此外，在适当的施加通量下，可以获得涡旋晶格和椭圆形涡旋的不均匀图案。提供了相应的零能态局部密度以及可用于显示天体离子织构的相对相位差

图形摘要