Full-shell Naowires

基于全包结构的 superconductor-semiconductor Majorana nanowire 文献整理。

Core-shell Nanowires

2002 年 Lincoln J. Lauhon 等人在 Nature 上发表了Si–Ge core–shell nanowires 和 Si–Ge–Si core–multishell nanowires 等的实验研究文章。
2002_Lauhon_Epitaxial.png
2002_Lauhon_Nature_Epitaxial core–shell and core– multishell nanowire heterostructures.pdf

[notice] Latex 引用：[/notice]

  
  @article{lauhon2002epitaxial,
  title={Epitaxial core--shell and core--multishell nanowire heterostructures},
  author={Lauhon, Lincoln J and Gudiksen, Mark S and Wang, Deli and Lieber, Charles M},
  journal={Nature},
  volume={420},
  number={6911},
  pages={57--61},
  year={2002},
  publisher={Nature Publishing Group}
  }

Al/InAs Full-shell Nanowires

2015 年 C. M. Marcus 小组 W. Chang 等人在 Nature Nanotechnology 上发表基于 Al/InAs Full-shell 结构的纳米线，并且观察到了显著的 hard gap 。
2015_Chang_Hard_1.png

[notice] Half-shell 和 Full-shell Al/InAs 纳米线隧穿谱对比：[/notice]

2015_Chang_Hard_2.png

2015_Chang_NatureNano_Hard gap in epitaxial semiconductor– superconductor nanowires.pdf

[notice] Latex 引用：[/notice]

  
  @article{chang2015hard,
  title={Hard gap in epitaxial semiconductor--superconductor nanowires},
  author={Chang, W and Albrecht, SM and Jespersen, TS and Kuemmeth, Ferdinand and Krogstrup, Peter and Nyg{\aa}rd, J and Marcus, Charles M},
  journal={Nature nanotechnology},
  volume={10},
  number={3},
  pages={232},
  year={2015},
  publisher={Nature Publishing Group}
  }

Majorana in Full-shell Nanowires

Theory Support

2018 年 Roman M. Lutchyn 等人通过理论计算在 full superconducting shell 与 spin-orbital coupling 共同作用下可以出现Majorana zero modes。目前该文发表在 arxiv 上。

We demonstrate that, in the presence of spin-orbit coupling in the semiconductor induced by a radial electric field, the winding of the superconducting order parameter leads to a topological phase supporting Majorana zero modes.

2018_Lutchyn_Topo.png

2018_Lutchyn_arxiv_Topological superconductivity in full shell proximitized nanowires.pdf

[notice] Latex 引用：[/notice]

  
  @article{lutchyn2018topological,
  title={Topological superconductivity in full shell proximitized nanowires},
  author={Lutchyn, Roman M and Winkler, Georg W and Van Heck, Bernard and Karzig, Torsten and Flensberg, Karsten and Glazman, Leonid I and Nayak, Chetan},
  journal={arXiv preprint arXiv:1809.05512},
  year={2018}
  }

Experiment

2018 年 C. M. Marcus 小组 S. Vaitiekenas 等人在实验上在 Full-shell 结构中观察到 zero bias peak(ZBP) 信号。目前该文发表在 arxiv 上。

2018_Vaitiekenas_Flux_Little-Parks.png

[notice] ZBP[/notice]

2018_Vaitiekenas_Flux.png

2018_Vaitiekenas_arxiv_Flux-induced Majorana modes in full-shell nanowires.pdf

[notice] Latex 引用：[/notice]

  
  @article{vaitiekenas2018flux,
  title={Flux-induced Majorana modes in full-shell nanowires},
  author={Vaitiek{\.e}nas, Saulius and Deng, M-T and Krogstrup, Peter and Marcus, CM},
  journal={arXiv preprint arXiv:1809.05513},
  year={2018}
  }

Theory Explanation and Suspicion

2019 年 Penaranda 等人对于 Vaitiekenas 等人的实验文章" Flux-induced Majorana modes in full-shell nanowires" 中的一些问题做出了自己的模型解释。

在此列举两个比较显著的问题：

  1. 在较宽的参数范围内出现了 zero bias peak 信号。
  2. 偶数倍量子磁通的时候也隐约存在 zero bias peak 信号。

2019_Penaranda_Even.png

[notice] 参数空间：[/notice]

2019_Penaranda_Even_Parameter_Space.png

2019_Fernando_arxiv_Even-odd effect and Majorana states in full-shell nanowires.pdf

[notice] Latex 引用：[/notice]

  
  @article{penaranda2019even,
  title={Even-odd effect and Majorana states in full-shell nanowires},
  author={Pe{\~n}aranda, Fernando and Aguado, Ram{\'o}n and San-Jose, Pablo and Prada, Elsa},
  journal={arXiv preprint arXiv:1911.06805},
  year={2019}
  }