Frequency dependent conductivity of vortex cores in type II superconductors

This paper is relevant to the recent optical transmission experiments of Karrai et al. for vortices in high Tc superconductors. We begin with a substantial review and introduction. The microscopic response of vortices is calculated from the Bogoliubov-deGennes equation, including an equation of motion and conductivity. We find that the expected resonant dipole transtition is not present because of translation invariance. We consider the effect of pinning and show that in the presence of pinning one recovers the dipole resonance. Thus we conclude that pinning may play an important role in the experiment.