Protected Helical Transport in Topological Insulators and Magnetically Doped Quantum Wires

拓扑绝缘体和磁掺杂量子线中的受保护螺旋输运

• 批准号: 285941391
• 负责人: Dr. Oleg Yevtushenko
• 金额: --
• 依托单位: Abteilung Marquardt (Theorie)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2016
• 资助国家: 德国
• 起止时间: 2015-12-31 至 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/285941391?language=en
• 关键词: Protected; Helical; Transport; Topological; Insulators

The current proposal embraces a comprehensive and detailed study of protected helical transport in topological insulators and quantum nanowires. Two directions of the theoretical research remain pivotal is this field, namely: (i) improving understanding of the robustness of the helicity protected ballistic transport; and (ii) developing the advanced theory for the helical phases in the interacting systems. These directions form the basis of the current proposal. It is the immediate continuation and the substantial extension of the project (sign removed), ``Symmetry Protected Transport of 1D Electrons Coupled to Local Spins: from Edges of Topological Insulators to Semiconductor Quantum Wires'', directed by the applicant. The new proposal has been inspired by recently generated new scientific ideas and by a foreseen intensive collaboration with experimental groups. Next steps of our theoretical study will include three directions: 1) A general theory of the helical systems (robustness of the transport protection out of equilibrium; numerical study of the Kondo/RKKY transition in the helical systems; slow relaxation of excited spin states - helical qubits); 2) Fundamental theoretical questions related to the HSs in the magnetically doped quantum wires (stability of the helical phase; various conducting channels; possible anyonic excitations); 3) Theoretical questions related to experiments on clean and doped wires made of Bi (the phase diagram of the magnetically doped wires in the presence of SOI, including nontrivial spin orderings in such wires; helical phases and Majorana edge states in magnetically doped wires connected to superconducting leads).

当前的建议涵盖了对拓扑绝缘体和量子纳米线中受保护的螺旋传输的全面研究。理论研究的两个方向仍然是这个领域，即：（i）提高对螺旋性稳健性保护弹道运输的理解； （ii）开发相互作用系统中螺旋阶段的高级理论。这些指示构成了当前提案的基础。这是该项目的立即延续和大量扩展（删除符号），````对称的1D电子的对称性传输与局部旋转：从拓扑绝缘器的边缘到申请人指挥的半导体量子线的边缘。这项新提案的灵感来自最近产生的新科学思想，并受到与实验小组的预见密集合作的启发。我们理论研究的后续步骤将包括三个方向：1）螺旋系统的一般理论（从平衡中稳健性保护的稳健性；在螺旋系统中的峡谷/rkky过渡的数值研究；静止旋转状态的缓慢松弛 - 螺旋量子量）； 2）与HSS相关的基本理论问题（磁掺杂量子线的稳定性；各种导电通道的稳定性；可能的任何人激发）； 3）与BI制成的清洁和掺杂电线的实验有关的理论问题（在存在SOI的情况下磁性掺杂线的相图，包括此类电线中的非平底自旋顺序；螺旋相和Majorana Edge状态在磁性掺杂线连接到超导管线索的磁性掺杂线中）。