Dynamics of Abrikosov’s Vortex Forced Oscillations: Role of Frequency, Acting Forces and Vortex Parameters

Abstract

The trajectories of motion of an isolated Abrikosov vortex in the anisotropic YBa2Cu3O7 superconductor under the influence of an external periodic force, damping into the sample, were constructed and analysed, taking into account the inert properties of the vortex and the forces acting on it: pinning, Lorentz, elasticity and viscosity. The hierarchy of the influence of various forces in a wide frequency range (∼1 THz) of the driving force on the shape and size of the trajectory is established. The calculated energy absorption by the vortex, as a function of frequency, taking into account the effective mass of the vortex, has resonant peaks: one at low frequency, associated with the de Gennes and Matricon mode, and the second at high frequency. The differences, manifested in vortex-induced oscillations for different field orientations in YBa2Cu3O7 and for the isotropic low-temperature superconductor NbTi, are analysed.