Anomalous Flux-Flow Dynamics in Layered Type-II Superconductors at Low Temperatures

Low-temperature dissipation due to vortex motion in strongly anisotropic type-II superconductors with a moderate disorder ( ${\Delta }^2/E_F\ll ħ/\tau \ll \Delta$) is shown to be determined by the Zener-type transitions between the localized electronic states in the vortex core. Statistics of these levels is described by the random matrix ensemble of class C defined recently by Atland and Zirnbauer, so the vortex motion leads naturally to a new example of a parametric statistics of energy levels. The flux-flow conductivity ${\sigma }_{\mathrm{xx}}$ is a bit lower than the quasiclassical one and grows slowly with the increase of the electric field.