论文标题
在超导拓扑绝缘子的表面状态下固定涡流中的绑定费米态：Majorana绑定状态
Bound fermion states in pinned vortices in the surface states of a superconducting topological insulator: The Majorana bound state
论文作者
论文摘要
通过分析求解Bogoliubov-De Gennes方程，我们研究了二维超导体中涡流核心中心的fermion结合状态。我们考虑三种2D超导模型：（a）在混合状态下具有低密度涡流线的标准II型超导体，（b）具有强旋转轨道耦合的超导体，可平行于动量和（c）超导型的旋转旋转，并且（c）强型旋转式旋转锁定旋转旋转旋转的旋转旋转型旋转型号，并具有动量的动量。 2D超导状态是通过$ S $波超导体与强拓扑绝缘子的表面状态之间的接近效应诱导的。如果（a）激发的能量差距为$δ_ {\ infty}^2/（2e_f）$，而对于案例（b）和（c）零能量的majoriagana state伴随着零间隔（$δ^^^^^2 _^2_ {\ infty}/e_f $）序列。旋转摩托明锁定是Majorana State形成的关键。我们提出了能量谱和波函数的分析表达式。
By analytically solving the Bogoliubov-de Gennes equations we study the fermion bound states at the center of the core of a vortex in a two-dimensional superconductor. We consider three kinds of 2D superconducting models: (a) a standard type II superconductor in the mixed state with low density of vortex lines, (b) a superconductor with strong spin-orbit coupling locking the spin parallel to the momentum and (c) a superconductor with strong spin-orbit coupling locking the spin perpendicular to the momentum. The 2D superconducting states are induced via proximity effect between an $s$-wave superconductor and the surface states of a strong topological insulator. In case (a) the energy gap for the excitations is of order $Δ_{\infty}^2/(2E_F)$, while for cases (b) and (c) a zero-energy Majorana state arises together with an equally spaced ($Δ^2_{\infty}/E_F$) sequence of fermion excitations. The spin-momentum locking is key to the formation of the Majorana state. We present analytical expressions for the energy spectrum and the wave functions.
