论文标题
碳纳米管中的拓扑超导性,磁通量很小
Topological superconductivity in carbon nanotubes with a small magnetic flux
论文作者
论文摘要
我们表明,使用相对较小的磁场可以在碳纳米管中实现一维拓扑超导体。我们的分析依赖于纳米管的固有曲率增强的自旋轨道耦合,以及穿过纳米管的磁通量的轨道效应。调整实验参数,我们表明纳米管中可能诱导半金属状态。然后将系统耦合到具有明显的自旋三个组件的Ising超导体,然后将纳米管驱动到拓扑超导阶段。提出的方案是通过实际空间紧密结合模拟进行研究的,并伴随着有效的连续性低能理论,这使我们能够对哈密顿尔顿词不同术语的作用有所了解。我们计算拓扑相图并确定边缘附近的局部零模式的存在。此外,我们发现在没有磁场的情况下,存在一个足够强的相互作用将系统推向时间反向不变的拓扑超导阶段的状态。
We show that a one-dimensional topological superconductor can be realized in carbon nanotubes, using a relatively small magnetic field. Our analysis relies on the intrinsic curvature-enhanced spin-orbit coupling of the nanotubes, as well as on the orbital effect of a magnetic flux threaded through the nanotube. Tuning experimental parameters, we show that a half-metallic state may be induced in the nanotube. Coupling the system to an Ising superconductor, with an appreciable spin-triplet component, can then drive the nanotube into a topological superconducting phase. The proposed scheme is investigated by means of real-space tight-binding simulations, accompanied by an effective continuum low-energy theory, which allows us to gain some insight on the roles of different terms in the Hamiltonian. We calculate the topological phase diagram and ascertain the existence of localized Majorana zero modes near the edges. Moreover, we find that in the absence of a magnetic field, a regime exists where sufficiently strong interactions drive the system into a time-reversal-invariant topological superconducting phase.