Quasi-particle spectrum around a single vortex in s-wave superconductors

Abstract

Making use of the Bogoliubov-de Gennes equation, we study the quasi-particle spectrum and the vortex core structure of a single vortex in quasi 2D s-wave superconductors for small $p_F{\xi }_0$, where $p_F$ is the Fermi momentum and ${\xi }_0=v_F/{\Delta }_0$ is the coherence length($\hslash =1$). In particular we find that the number of bound states decreases rapidly for decreasing $p_F{\xi }_0$. Also for $p_F{\xi }_0\sim 1$, the Kramer-Pesch effect stops around $T/T_c\simeq 0.3$.

9pages, 23figures