Topological states of matter induced by spatially-modulated fields

在过去的一个财政年度里，我的研究成果包括3篇出版物，1篇论文，6次会议口头发言，4次在研究机构的研讨会。在科学上，主要的成就是：我们展示了通过空间调制场编织Majorana模式的可能性，利用离散一维阵列中的局部化Majorana模式。提出了一种利用非均匀超导序来操纵二维超导体马约拉纳模的新方法。我们开发了一个新的框架来描述一维超导体中的非平凡马约拉纳模式和其他类型的平凡模式。我写了一篇关于拓扑超导体中的马约拉纳模式的扩展综述，总结了该领域的主要成果，希望能对未来的研究起到启发作用。

In this last fiscal year, my research resulted in 3 publications, one accepted paper, 6 oral contributions to conferences, and 4 invited seminars in research institutions. Scientifically, the main achievements were:We demonstrated the possibility to braid Majorana modes via spatially-modulated fields, employing Majorana modes localized in discrete 1D arrays.We proposed a novel way to manipulate Majorana modes in 2D superconductors via inhomogeneous superconducting order.We developed a novel framework to describe nontrivial Majorana modes and other kinds of trivial modes in 1D superconductors.I wrote an extended review on Majorana modes in topological superconductors, which summarizes the main achievements in the field and will hopefully serve as inspiration for future research.