论文标题
Luttinger J = 3/2系统中Majorana模式的内在出现
Intrinsic emergence of Majorana modes in Luttinger j=3/2 systems
论文作者
论文摘要
我们从理论上分析了S-Wave超导率（SC）的两个不同的设置，靠近$ J = 3/2 $粒子的Luttinger材料中的颗粒，能够托管Majoragan Boundana Boundana（MBSS）。首先，我们考虑一维SC线，具有内在的体积反转不对称（BIA）。与电线相反，与Rashba旋转轨道耦合的二次分散建模相反，在有限磁场的系统中，我们的系统中有两个拓扑相变。其次，我们分析了Luttinger模型上的二维Josephson结，即使在没有BIA和Rashba旋转轨道耦合的情况下，也发现了拓扑区域。这起源于$ j = 3/2 $状态的轻和重孔带的杂交与SC配对。结果，两个系统都可以驱动到托管MBS的拓扑阶段。因此，我们预测，单独使用磁场，在2D Luttinger材料上的任何SC临近Josephson结中的MBS形成。这为搜索拓扑SC搜索开辟了新的途径。
We analyze theoretically two different setups for s-wave superconductivity (SC) proximitized $j=3/2$ particles in Luttinger materials that are able to host Majorana bound states (MBSs). First, we consider a one-dimensional SC wire with intrinsic bulk inversion asymmetry (BIA). In contrast to wires, modeled by a quadratic dispersion with Rashba spin-orbit coupling, there are two topological phase transitions in our systems at finite magnetic fields. Second, we analyze a two-dimensional Josephson junction on the Luttinger model finding a topological region even in the absence of BIA and Rashba spin-orbit couplings. This originates from the hybridization of the light and heavy hole bands of the $j=3/2$ states in combination with the SC pairing. As a consequence, both systems can be driven into a topological phase hosting MBSs. Hence, we predict that MBSs form in any SC proximitized Josephson junction on 2D Luttinger materials by the application of magnetic field alone. This opens a new avenue for the search of topological SC.
