Mirror-protected Majorana zero modes in f-wave multilayer graphene superconductors,Physical Review B

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Mirror-protected Majorana zero modes in f-wave multilayer graphene superconductors
Physical Review B ( IF 3.2 ) Pub Date : 2024-09-10 , DOI: 10.1103/physrevb.110.l100501
Võ Tiến Phong _{1,

2,

3} , Héctor Sainz-Cruz ₄ , Eugene J. Mele ₁ , Francisco Guinea _{4,

5}

Affiliation

Inspired by recent experimental discoveries of superconductivity in multilayer graphene, we study models of

f

-wave superconductivity on the honeycomb lattice with arbitrary numbers of layers. For odd numbers of layers, these systems are topologically nontrivial, characterized by a mirror-projected winding number

ν_{\pm} = \pm 1

. Along each mirror-preserving edge in armchair nanoribbons, there are two protected Majorana zero modes. These modes are present even if the sample is finite in both directions, such as in rectangular and hexagonal flakes. Crucially, zero modes can also be confined to vortex cores. Finally, we apply these models to twisted bilayer and trilayer systems, which also feature boundary-projected and vortex-confined zero modes. Since vortices are experimentally accessible by local scanning probes, our study suggests that superconducting multilayer graphene systems are promising platforms to create and manipulate Majorana zero modes.

中文翻译：

f 波多层石墨烯超导体中的镜面保护马约拉纳零模式

受到最近实验发现的启发

f

为了研究多层石墨烯中的超导性，我们研究了任意层数蜂窝晶格上的 f 波超导模型。对于奇数层，这些系统在拓扑上是不平凡的，其特征是镜像投影绕数

ν_{\pm} = \pm 1

。沿着扶手椅纳米带中的每个镜面保留边缘，有两个受保护的马约拉纳零模式。即使样本在两个方向上都是有限的，例如矩形和六边形薄片，这些模式仍然存在。至关重要的是，零模式也可以局限于涡核。最后，我们将这些模型应用于扭曲的双层和三层系统，这些系统还具有边界投影和涡旋限制的零模式。由于涡流可以通过局部扫描探针在实验上获得，我们的研究表明超导多层石墨烯系统是创建和操纵马约拉纳零模式的有前途的平台。

更新日期：2024-09-11

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