Simulation of dynamics of the order parameter in superconducting nanostructured materials: Effect of the magnetic field renormalization
E.I. Smirnova1, R.O. Rezaev1,2, and V.M. Fomin1,3
1Institute for Integrative Nanosciences (IIN), Leibniz Institute for Solid State and Materials Research (IFW) Dresden Helmholtzstraße 20, Dresden D-01069, Germany
2Tomsk Polytechnic University, 30 Lenin Ave., Tomsk 634050, Russia
3National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, Moscow 115409, Russia pos Анотація:
Received November 25, 2019, published online February 28, 2020
The effect of the magnetic field renormalization in superconducting nanostructured materials is quantitatively evaluated. For demonstration purposes, three superconducting structures with various geometric shapes and dimensions and functioning in different resistive regimes are considered. Simulation is based on a set of equations including the time-dependent Ginzburg–Landau equation coupled with the Maxwell equations. An impact of the order pa-rameter on the vector and scalar potentials is taken into account. It is shown that for Nb structures having thicknesses (~ 200 nm) less than the magnetic field penetration depth (~ 300 nm), the effect of the magnetic field renormalization equivocally affects the spatiotemporal distribution of superconducting vortices. For a slab with the thickness of ~ 100 nm, the absolute value of the average voltage generated by moving vortices changes by less than 1%. With increasing the thickness of C-shaped structures up to 500 nm, the renormalization effect leads to the growth of the average voltage by up to 10%.