Electron-hole coherence in core-shell nanowires with partial proximity-induced superconductivity

被引:0
作者
Klausen, Kristjan Ottar [1 ]
Sitek, Anna [2 ]
Erlingsson, Sigurdur I. [1 ]
Manolescu, Andrei [1 ]
机构
[1] Reykjavik Univ, Dept Engn, Menntavegur 1, IS-101 Reykjavik, Iceland
[2] Wroclaw Univ Sci & Technol, Dept Theoret Phys, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland
基金
芬兰科学院;
关键词
ANDREEV REFLECTION; QUASI-PARTICLES; DEPENDENCE; DIFFUSION; TRANSPORT; EQUATION; STATES;
D O I
10.1103/PhysRevB.107.035423
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
By solving the Bogoliubov-de Gennes Hamiltonian, the electron-hole coherence within a partially proxim-itized n-doped semiconductor shell of a core-shell nanowire heterostructure is investigated numerically and compared with the Andreev reflection interpretation of proximity induced superconductivity. Partial proximiti-zation is considered to quantify the effects of a reduced coherence length. Three cases of partial proximitization of the shell are explored: radial, angular, and longitudinal. For the radial case, it is found that the boundary conditions impose localization probability maxima in the center of the shell in spite of off-center radial prox-imitization. The induced superconductivity gap is calculated as a function of the ratio between the proximitized shell thickness and the total shell thickness. In the angular case, the lowest-energy state of a hexagonal wire with a single proximitized side is found to display the essence of Andreev reflection, only by lengthwise summation of the localization probability. In the longitudinal case, a clear correspondence with Andreev reflection is seen in the localization probability as a function of length along a half-proximitized wire. The effect of an external magnetic field oriented along the wire is explored.
引用
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页数:9
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