arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.14727cond-mat.supr-concond-mat.mtrl-sci
收藏

Pb $_3$ Bi/Ge(111)中具有陈数$\mathcal{C} =-2$的手征拓扑超导态

Chiral topological superconducting state with Chern number $\mathcal{C} =-2$ in Pb$_3$Bi/Ge(111)

Shuwen Sun, Wei Qin, Leiqiang Li, Zhenyu Zhang

摘要:

手征拓扑超导的材料实现是凝聚态物理中观测和操纵Majorana费米子的重要条件。在这里,我们开发了Pb $_3$ Bi/Ge(111)的紧束缚描述,最近被确定为实现手性$p$波拓扑超导性的有吸引力的候选系统[Nat. Phys. 15,796(2019)]。我们首先表明,我们的唯象模型可以捕获的两个主要特征的电子能带结构从第一性原理计算,即巨大的Rashba分裂和II型范霍夫奇异性。其次,当我们考虑Pb合金体系的$s$波超导性质时,我们发现合金体系可以被调谐为具有Chern数$\mathcal{C} = -2$的手征拓扑超导体,这是由于足够强的塞曼场和固有的大Rashba自旋轨道耦合的协同作用。进一步证明了具有$\mathcal{C} = -2$的非平凡拓扑结构可以作为两个手征Majorana边缘模在具有适当边界的系统中沿相同方向传播。最后讨论了建立拓扑超导性的物理现实条件,并观察到相应的Majorana边模,包括超导能隙、Landé $g$因子和临界磁场的影响.本研究为在二维或相关界面系统中寻找有效的$p$波超导和马约拉纳费米子提供了有用的指导。

英文摘要:

Materials realization of chiral topological superconductivity is a crucial condition for observing and manipulating Majorana fermions in condensed matter physics. Here we develop a tight-binding description of Pb$_3$Bi/Ge(111), identified recently as an appealing candidate system for realizing chiral $p$-wave topological superconductivity [Nat. Phys. 15, 796 (2019)]. We first show that our phenomenological model can capture the two main features of the electronic band structures obtained from first-principles calculations, namely, the giant Rashba splitting and type-II van Hove singularity. Next, when the $s$-wave superconducting property of the parent Pb system is explicitly considered, we find the alloyed system can be tuned into a chiral topological superconductor with Chern number $\mathcal{C} = -2$, resulting from the synergistic effect of a sufficiently strong Zeeman field and the inherently large Rashba spin-orbit coupling. The nontrivial topology with $\mathcal{C} = -2$ is further shown to be detectable as two chiral Majorana edge modes propagating along the same direction of the system with proper boundaries. We finally discuss the physically realistic conditions to establish the predicted topological superconductivity and observe the corresponding Majorana edge modes, including the influence of the superconducting gap, Landé $g$-factor, and critical magnetic field. The present study provides useful guides in searching for effective $p$-wave superconductivity and Majorana fermions in two-dimensional or related interfacial systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑