论文标题
准晶体中的拓扑超导性
Topological superconductivity in quasicrystals
论文作者
论文摘要
我们提出通过与晶体对应物相同的机制来实现二维准晶体中非亚伯拓扑超导性的实现。具体而言，我们研究了Penrose和Ammann-Beenker准晶体中的二维电子气体，带有Rashba自旋轨道耦合，垂直的Zeeman磁场以及常规的$ S $ - $ Wave超导性。我们发现，在低填充物下，在penrose和Ammann-Beenker的准晶体中都实现了拓扑超导性，而在penrose和Ammann-Beenker的准晶体中都实现了拓扑。该阶段的拓扑性质通过零能量表面结合状态的存在以及沿表面沿Midgap结合状态的波数据包的手性传播证实。此外，我们在系统中心和沿表面的涡流中确认单个Majorana零模式的存在，在BOTT INDEX是统一时表示系统的非亚伯式特征。
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.
