Optimization of the design of superconducting inhomogeneous nanowires
Ilya Grigorenko, Jian-Xin Zhu, Alexander Balatsky

TL;DR
This paper presents a numerical approach to optimize the geometry of inhomogeneous superconducting nanowires, significantly enhancing their properties by adjusting multilayer configurations.
Contribution
It introduces a method to optimize multilayered nanowire geometries for improved superconducting properties using Bogoliubov-de Gennes equations.
Findings
Optimized nanowire configurations can increase superconducting properties by up to 300%.
The optimal design depends on the specific property targeted and the number of layers.
Numerical solutions effectively guide the design of high-performance superconducting nanostructures.
Abstract
We study optimization of superconducting properties of inhomogeneous nanowires. The main goal of this research is to find an optimized geometry that allows one to maximize the desired property of superconductors, such as the maximum value of local superconducting gap or total condensation energy. We consider axially symmetric design of multi-layered nanowires with possibility to adjust and change the layers thickness. We use numerical solution of the Bogoliubov-de Gennes equations to obtain the local superconducting gap for different arrangements of the inhomogeneous structures. The value of the optimized properties can be up to 300% greater compared to a non-optimized geometry. The optimized configuration of multilayers strongly depends on the desired property one wants to optimize and on the number of layers in the nanowire.
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