Vortex dissipation and level dynamics for the layered superconductors with impurities

Abstract

We study parametric level statistics of the discretized excitation spectra inside a moving vortex core in layered superconductors with impurities. The universal conductivity is evaluated numerically for the various values of rescaled vortex velocities $κ$ from the clean case to the dirty limit case. The random matrix theoretical prediction is verified numerically in the large $κ$ regime. On the contrary in the low velocity regime, we observe $σ_{xx} \propto κ^{2/3}$ which is consistent with the theoretical result for the super-clean case, where the energy dissipation is due to the Landau-Zener transition which takes place at the points called ``avoided crossing''.