Majorana Fermions in One-Dimensional Structures at LaAlO3/SrTiO3 Oxide Interfaces
Majorana Fermions in One-Dimensional Structures at LaAlO3/SrTiO3 Oxide Interfaces
复制标题
LaAlO3/SrTiO3 氧化物界面一维结构中的马约拉纳费米子
DOI：
10.3390/condmat3040037
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发表时间：
2018
期刊：
影响因子：
1.7
通讯作者：
S. Caprara
中科院分区：
文献类型：
--
作者：
Maria Vittoria Mazziotti;N. Scopigno;M. Grilli;S. Caprara
我们研究了在LaAlO 3 /SrTiO 3氧化物界面通过适当的顶栅可能形成的一维结构。这些结构是通过一个单带模型与Rashba自旋轨道耦合，超导性和磁场沿着一维链建模。我们首先讨论的拓扑超导相的发生条件和相关的形成马约拉纳费米子在链的端点，突出了这个模型和Kitaev模型，这也反映了在类似的条件下形成的拓扑相之间的密切相似性。在真实的空间中求解该模型，我们还研究了马约拉纳费米子波函数的空间扩展，以及它如何随着接近拓扑状态的极限条件而增加。使用散射矩阵的形式主义，我们调查的马约拉纳费米子在无序的存在下的稳定性和讨论的拓扑相位随无序度增加的演变。
We study one-dimensional structures that may be formed at the LaAlO 3 /SrTiO 3 oxide interface by suitable top gating. These structures are modeled via a single-band model with Rashba spin-orbit coupling, superconductivity and a magnetic field along the one-dimensional chain. We first discuss the conditions for the occurrence of a topological superconducting phase and the related formation of Majorana fermions at the chain endpoints, highlighting a close similarity between this model and the Kitaev model, which also reflects in a similar condition the formation of a topological phase. Solving the model in real space, we also study the spatial extension of the wave function of the Majorana fermions and how this increases with approaching the limit condition for the topological state. Using a scattering matrix formalism, we investigate the stability of the Majorana fermions in the presence of disorder and discuss the evolution of the topological phase with increasing disorder.