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Symmetry-breaking signatures of multiple Majorana zero modes in one-dimensional spin-triplet superconductors
Physical Review B ( IF 3.7 ) Pub Date : 2021-09-28 , DOI: 10.1103/physrevb.104.104513
Arnab Barman Ray 1 , Jay D. Sau 2 , Ipsita Mandal 3
Affiliation  

We study the effects of various symmetry-breaking perturbations on the experimentally measurable signatures (such as conductance and Josephson response) of quasi-one-dimensional (quasi-1D) spin-triplet superconductors. In the first part of the paper, we numerically compute the zero and nonzero temperature conductances of the quasi-1D nanowires that host multiple Majorana zero modes. Following the discussion of the case of s-wave Rashba nanowires, we shift to the main focus, i.e., multi-channel spin-triplet superconductors. Applying gate voltages (which changes the symmetry of the spin-orbit coupling) as well as magnetic fields to the nanowire, tunes the system between different symmetry classes by splitting the multiple Majorana zero modes. We study how the conductance tracks the topological invariants and the spectra in all these cases. In the second part of the paper, we study the effects of the symmetry-induced spectrum-breaking on the Andreev spectra of Josephson junctions. Similar to the case of the conductance studies, we find that the spectrum shows multiple zero-energy Andreev bound states in the highly symmetric case with mirror and chiral symmetries.

中文翻译:

一维自旋三重态超导体中多个马约拉纳零模式的对称破缺特征

我们研究了各种对称破坏扰动对准一维(准 1D)自旋三重态超导体的实验可测量特征(如电导和约瑟夫森响应)的影响。在论文的第一部分,我们数值计算了具有多个马约拉纳零模式的准一维纳米线的零和非零温度电导。在讨论 s 波 Rashba 纳米线的情况之后,我们转移到主要焦点,即多通道自旋三重态超导体。向纳米线施加栅极电压(改变自旋轨道耦合的对称性)以及磁场,通过拆分多个马约拉纳零模式来调整不同对称类别之间的系统。我们研究电导如何跟踪所有这些情况下的拓扑不变量和光谱。在论文的第二部分,我们研究了对称性引起的谱破坏对约瑟夫森结的安德列夫谱的影响。与电导研究的情况类似,我们发现在具有镜面对称性和手性对称性的高度对称情况下,光谱显示出多个零能 Andreev 束缚态。
更新日期:2021-09-28
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