Parallel Computations of Vortex Core Structures in Superconductors

Abstract

In this master thesis the properties of an isolated vortex of flux quantum one in $s$-wave superconductors is investigated. This is done by solving the Eilenberger transport equation for the quasi-classical Matsubara propagator in the extreme clean limit. The local density of states (LDOS) in the vortex center is calculated and the Kramer-Pesch effect is demonstrated. Furthermore, the self-consistency equation for the order parameter, the LDOS and the current calculations have large amounts of data parallelism. By programming in CUDA C this parallelism is exploitable. Parallel computations are carried out on an NVIDIA graphics card giving speedups up to a factor of 100 for small systems and 10 for large ones, compared to serial code, thus showing the immense power of parallelizing calculations and moving them to the graphics card.