Stanescu Tudor D, Sitek Anna, Manolescu Andrei
Department of Physics and Astronomy, West Virginia University, Morgantown, WV 26506, USA.
Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wroclaw University of Science and Technology, Wroclaw, 50-370, Poland.
Beilstein J Nanotechnol. 2018 May 22;9:1512-1526. doi: 10.3762/bjnano.9.142. eCollection 2018.
We consider core-shell nanowires with prismatic geometry contacted with two or more superconductors in the presence of a magnetic field applied parallel to the wire. In this geometry, the lowest energy states are localized on the outer edges of the shell, which strongly inhibits the orbital effects of the longitudinal magnetic field that are detrimental to Majorana physics. Using a tight-binding model of coupled parallel chains, we calculate the topological phase diagram of the hybrid system in the presence of non-vanishing transverse potentials and finite relative phases between the parent superconductors. We show that having finite relative phases strongly enhances the stability of the induced topological superconductivity over a significant range of chemical potentials and reduces the value of the critical field associated with the topological quantum phase transition.
我们考虑在与平行于导线施加的磁场存在的情况下，与两个或更多超导体接触的棱柱形几何结构的核壳纳米线。在这种几何结构中，最低能量态局域在壳的外边缘，这强烈抑制了对马约拉纳物理有害的纵向磁场的轨道效应。使用耦合平行链的紧束缚模型，我们计算了在存在非零横向势和母体超导体之间有限相对相位的情况下混合系统的拓扑相图。我们表明，具有有限相对相位会在相当大的化学势范围内显著增强诱导拓扑超导的稳定性，并降低与拓扑量子相变相关的临界场值。
