论文标题
由于Meissner效应
Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
论文作者
论文摘要
我们考虑了杂化量子霍尔 - 渗透导体系统，其中，在垂直磁场存在的情况下，具有倾斜轮廓的超导手指被楔入二维电子气体中，如Lee等人Nat所考虑的那样。物理。 13，693（2017）。电子气在填充因子$ν= 1 $的量子厅策略中。由于Meissner效应，靠近量子霍尔 - 呼吸器边界的垂直磁场被扭曲，并引起磁场的平面成分。该组件可以在超导手指的相对侧的自旋偏振手性边缘状态之间进行非局部交叉反射，从而在边缘状态的光谱中开出一个间隙，而无需自旋轨道相互作用或非磁性磁纹理。我们以数值计算此设置的传输特性，并表明由于非本地安里弗利夫过程而存在负电阻。我们还从数值上获得了零能量状态的局部密度，该密度系统地显示了稳定的峰值峰值。后一种结果与主要结合状态的出现兼容。
We consider a hybrid quantum Hall-superconductor system, where a superconducting finger with oblique profile is wedged into a two-dimensional electron gas in the presence of a perpendicular magnetic field, as considered by Lee et al., Nat. Phys. 13, 693 (2017). The electron gas is in the quantum Hall regime at filling factor $ν=1$. Due to the Meissner effect, the perpendicular magnetic field close to the quantum Hall-superconductor boundary is distorted and gives rise to an in-plane component of the magnetic field. This component enables nonlocal crossed Andreev reflection between the spin-polarized chiral edge states running on opposite sides of the superconducting finger, thus opening a gap in the spectrum of the edge states without the need of spin-orbit interaction or nontrivial magnetic textures. We compute numerically the transport properties of this setup and show that a negative resistance exists as a consequence of nonlocal Andreev processes. We also obtain numerically the zero-energy local density of states, which systematically shows peaks stable to disorder. The latter result is compatible with the emergence of Majorana bound states.
