Energy Absorption by a Single Abrikosov’s Vortex in NbTi and YBaCuO Superconductors

The calculations of the absorption energy and the Q-factor of vibration of a vortex line under the effect of an external uniform harmonic force have been presented. The line tension of the vortex line and its effective mass, Magnus force, pinning force, and viscosity force were included in the equation of the dynamics. Two peaks of absorption in accordance with two modes of the oscillation spectrum were observed. The first peak of absorption is a result of flux pinning, which coincides with the De Gennes–Matricon solution in some limits. The second (high-frequency) peak is a result of a novel mode related to the effective mass of a vortex line. Temperature dependencies of absorption peaks were calculated for the NbTi and YBaCuO superconductors for orientations H∥c and H⊥c. The resonant frequency of the resonance peaks of absorption decreases with an increase in temperature. Some other peculiarities of the oscillating dynamics of the vortex line were discussed.