Akademik Veri Yönetim Sistemi
International Conference on Superconductivity and Magnetism 2023, Muğla, Türkiye, 4 - 11 Mayıs 2023, ss.372
Superconducting networks appear in many branches modern science and technology. The main
problem arising in designing and utilization of such systems in the device structure is tuning their electronic
properties. The latter is directly related to the problem of controlling quasiparticle dynamics in a
superconducting network, i.e. achieving needed regime of charge carrier transport minimizing of back
scattering effects, enhancing ballistic regime, etc. In this study, we propose a model, which is based on the
use of Landau-Ginzburg equation on graphs for describing quasiparticle dynamics in superconducting
networks. Using the earlier developed approach for solving of nonlinear evolution equations on networks
[1-3], we show the integrability of the problem under certain conditions and obtain exact solutions of the
problem. Using such solution we show that integrability of the problem causes absence of the quasiparticle
back scattering at the network nodes. Breaking of the integrability condition leads to appearing of
quasiparticle reflection at the nodes. Achieving the regime with the absence of back scattering allows to
avoid energy, signal and spin losses in using superconducting network as a device structure