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首页> 外文期刊>Journal of Physics. Condensed Matter >Majoranas with and without a 'character': hybridization, braiding and chiral Majorana number
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Majoranas with and without a 'character': hybridization, braiding and chiral Majorana number

机译：有和没有“字符”的马约拉那人：杂交，编织和手性马约拉那人号码

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摘要

In this paper we demonstrate under what conditions a pseudo-spin degree of freedom or character can be ascribed to Majorana bound states (MBS). These exotic states can be created at the boundaries of non-interacting systems, corresponding to D, DIII and BDI in the usual classification scheme, and we focus on one dimension. We have found that such a character is directly related to the class of the topological superconductor and its description by a Z, rather than a Z(2), invariant which corresponds to the BDI class. We have also found that the DIII case with mirror symmetry, which supports multiple MBS, is in fact equivalent to the BDI class with an additional time-reversal symmetry. In all cases where a character can be given to the Majorana states we show how to construct the appropriate local operator explicitly with various examples. We also examine the consequences of the Majorana character by considering possible hybridization of MBS brought into proximity and find that two MBS with the same character do not hybridize. Finally, we show that having this character or not has no consequence on the braiding properties of MBS.
机译：在本文中，我们演示了在什么条件下伪自旋自由度或字符可归因于马约拉纳束缚态（MBS）。这些奇异状态可以在非交互系统的边界处创建，对应于通常的分类方案中的D，DIII和BDI，我们将重点放在一个维度上。我们已经发现，这种字符与拓扑超导体的类别直接相关，并且通过Z而不是与BDI类相对应的Z（2）不变来描述它。我们还发现，支持多个MBS的具有镜像对称性的DIII情况实际上等效于具有附加时间反转对称性的BDI类。在可以给马约拉纳州赋予字符的所有情况下，我们将通过各种示例展示如何显式构造适当的本地运算符。我们还通过考虑可能接近的MBS杂交来检查马略拉娜角色的后果，并发现两个具有相同角色的MBS不会杂交。最后，我们表明具有此字符与否与MBS的编织特性无关。

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