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Two-dimensional superconductor in uniform magnetic field

-Analysis of Abrikosov lattice in type II superconductor

Abstract

In this work, the vortex nucleation process in a mesoscopic superconductor with different geometry is numerically investigated in terms of time dependent Ginzburg– Landau theory. We solved the equations simultaneously for different initial parameters. The influence of the magnetic field on the number of vortices was tested and further analysed. Although all parameters are temperature dependent, in this study it was chosen to be 𝑇=0, therefore no critical temperature could be established. The main goal of this study is to show the reader the impact of defects in different geometries in comparison to ideal geometries. Through the whole simulation the parameters are chosen as follows: 𝜅=4,𝜎=1, unless stated otherwise.

Content list:

1. Theoretical Introduction
2. Simulation and Geometry
3. Results
4. Final Remarks