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Topological superconductivity in quasicrystals
Physical Review B ( IF 3.7 ) Pub Date : 2021-10-26 , DOI: 10.1103/physrevb.104.144511
Rasoul Ghadimi 1 , Takanori Sugimoto 1, 2 , K. Tanaka 3 , Takami Tohyama 1
Affiliation  

We propose realization of non-Abelian topological superconductivity in two-dimensional quasicrystals by the same mechanism as in crystalline counterparts. Specifically, we study a two-dimensional electron gas in Penrose and Ammann-Beenker quasicrystals with Rashba spin-orbit coupling, perpendicular Zeeman magnetic field, and conventional s-wave superconductivity. We find that topological superconductivity with broken time-reversal symmetry is realized in both Penrose and Ammann-Beenker quasicrystals at low filling, where the Bott index is unity. The topological nature of this phase is confirmed by the existence of a zero-energy surface bound state and the chiral propagation of a wave packet projected onto the midgap bound state along the surfaces. Furthermore, we confirm the existence of a single Majorana zero mode each in a vortex at the center of the system and along the surfaces, signifying the non-Abelian character of the system when the Bott index is unity.

中文翻译:

准晶体中的拓扑超导性

我们建议通过与晶体对应物相同的机制在二维准晶体中实现非阿贝尔拓扑超导性。具体而言,我们研究了具有 Rashba 自旋轨道耦合、垂直塞曼磁场和常规磁场的 Penrose 和 Ammann-Beenker 准晶中的二维电子气。-波超导。我们发现在低填充的 Penrose 和 Ammann-Beenker 准晶中实现了具有破坏的时间反转对称性的拓扑超导性,其中 Bott 指数是统一的。该相的拓扑性质通过零能表面束缚态的存在和沿表面投射到中隙束缚态上的波包的手性传播得到证实。此外,我们确认在系统中心和沿表面的涡旋中每个都存在单个马约拉纳零模式,这表明当 Bott 指数为 1 时系统的非阿贝尔特征。
更新日期:2021-10-26
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