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利用拓扑平庸能带稳定拓扑绝缘体超导相中磁性涡旋中的马约拉纳模。

Stabilization of Majorana modes in magnetic vortices in the superconducting phase of topological insulators using topologically trivial bands.

机构信息

Department of Physics, University of Illinois, Urbana, Illinois 61801, USA.

出版信息

Phys Rev Lett. 2012 Dec 7;109(23):237009. doi: 10.1103/PhysRevLett.109.237009. Epub 2012 Dec 5.

Abstract

It has been shown that doped topological insulators, up to a certain level of doping, still preserve some topological signatures of the insulating phase such as axionic electromagnetic response and the presence of a Majorana mode in the vortices of a superconducting phase. Multiple topological insulators such as HgTe, ScPtBi, and other ternary Heusler compounds have been identified and generically feature the presence of a topologically trivial band between the two topological bands. In this Letter we show that the presence of such a trivial band can stabilize the topological signature over a much wider range of doping. Specifically, we calculate the structure of vortex modes in the superconducting phase of doped topological insulators, a model that captures the features of HgTe and the ternary Heusler compounds. We show that, due to the hybridization with the trivial band, Majorana modes are preserved over a large, extended doping range for p doping. In addition to presenting a viable system where much less fine-tuning is required to observe the Majorana modes, our analysis opens a route to study other topological features of doped compounds that cannot be modeled using the simple Bi(2)Se(3) Dirac model.

摘要

已经表明,在一定的掺杂水平下,掺杂拓扑绝缘体仍然保留了绝缘相的一些拓扑特征,例如轴子电磁响应和超导相涡旋中的马约拉纳模式。已经确定了多种拓扑绝缘体,例如 HgTe、ScPtBi 和其他三元 Heusler 化合物,它们通常具有在两个拓扑带之间存在拓扑平凡带的特征。在这封信中,我们表明,这种平凡带的存在可以在更宽的掺杂范围内稳定拓扑特征。具体来说,我们计算了掺杂拓扑绝缘体超导相中的涡旋模式的结构,该模型捕获了 HgTe 和三元 Heusler 化合物的特征。我们表明,由于与平凡带的杂化,在较大的扩展掺杂范围内,马约拉纳模式得以保留。除了提供一个可行的系统,其中需要较少的微调来观察马约拉纳模式外,我们的分析还开辟了一条研究掺杂化合物其他拓扑特征的途径,这些特征无法使用简单的 Bi(2)Se(3)狄拉克模型来建模。

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