Strong Coupling Model for a Superconducting Particle in a Triangular Lattice of Abrikosov Vortices

The paper examines the Cooper pair in the potential field of Abrikosov vortices. The dependence of energy on the wave vector for a superconducting particle in a triangular lattice of Abrikosov vortices is calculated using the strong coupling approximation method. The dependence of the effective mass of superconducting particles on the wave vector and the distance between vortices is determined. The dependence of the group velocity of superconducting particles on the wave vector and the distance between vortices is calculated. The study reveals that the effective mass and group velocity of superconducting particles exhibit significant variations with changes in the wave vector and vortex spacing, indicating a strong interplay between particle dynamics and vortex lattice structure. Furthermore, these findings suggest potential applications in manipulating the properties of superconductors through controlled alteration of vortex lattice parameters.