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arXiv 1609.04129cond-mat.mes-hallcond-mat.supr-con
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磁掺杂拓扑绝缘体与常规超导体耦合的拓扑超导电性

Topological superconductivity in an ultrathin, magnetically-doped topological insulator proximity coupled to a conventional superconductor

Youngseok Kim, Timothy M. Philip, Moon Jip Park, Matthew J. Gilbert

摘要:

在s波超导体上生长的三维拓扑绝缘体(TI)系统作为实现拓扑超导的一个有希望的候选系统,已经得到了广泛的研究。为了通过实验获得拓扑超导性,3D TI样品必须足够薄以允许库珀对隧穿到TI的暴露表面。使用磁性有序掺杂剂来打破时间反演对称性可以允许TI的表面容纳马约拉纳费米子,这被认为是拓扑超导性的标志。本文研究了磁掺杂的薄膜钛-超导体混合系统。考虑到TI薄膜中邻近诱导的序参量,分析了体系哈密顿量的能隙闭合点,并绘制了体系相图,该相图是TI体系的杂化能隙、塞曼能和化学势的函数。我们的研究结果为选择相关参数以便于观察薄膜TI-超导体混合系统中的拓扑超导电性提供了有益的指导。此外,我们还对TI邻近耦合s波超导体进行了数值分析,发现由于TI中表面态的自旋动量锁定性质,即使在较大的塞曼能量下,表面态的诱导s波序参量仍然存在.

英文摘要:

As a promising candidate system to realize topological superconductivity, the system of a 3D topological insulator (TI) grown on top of the s-wave superconductor has been extensively studied. To access the topological superconductivity experimentally, the 3D TI sample must be thin enough to allow for Cooper pair tunneling to the exposed surface of TI. The use of magnetically ordered dopants to break time-reversal symmetry may allow the surface of a TI to host Majorana fermion, which are believed to be a signature of topological superconductivity. In this work, we study a magnetically-doped thin film TI-superconductor hybrid systems. Considering the proximity induced order parameter in thin film of TI, we analyze the gap closing points of the Hamiltonian and draw the phase diagram as a function of relevant parameters: the hybridization gap, Zeeman energy, and chemical potential of the TI system. Our findings provide a useful guide in choosing relevant parameters to facilitate the observation of topological superconductivity in thin film TI-superconductor hybrid systems. In addition, we further perform numerical analysis on a TI proximity coupled to a s-wave superconductor and find that, due to the spin-momentum locked nature of the surface states in TI, the induced s-wave order parameter of the surface states persists even at large magnitude of the Zeeman energy.

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