Cooper Pair in the Potential Field of Abrikosov Vortex

摘要

The paper considers the behavior of a Cooper pair in the potential field of an Abrikosov vortex, describes the process physics qualitatively. An estimate of the characteristic length and energy of the system is made on the basis of the Heisenberg uncertainty and the quasiclassical method. A comparison is made of the theoretical and experimental coherence lengths for cuprate superconductors, and good agreement is obtained for the estimates for many cuprate superconductors. The results obtained can be used to build a complete theory of superconductivity, to be a starting point for building a theory of the dynamics of a superconducting system, which will entail, in particular, a description of the current-voltage characteristics of superconductors of the second kind.