The dynamics of current-driven vortex in two-band superconductor with s+d wave pairing

Two-band mesoscopic superconductors are known to exhibit specific vortex states. In this paper, finite element method (FEM) is used to numerically solve the time-dependent Ginzburg-Landau (TDGL) equation with s+d wave coupling for a 3D mesoscopic superconducting strip. We discuss the effect of external magnetic field H and applied current I on s+d wave coupling at the temperatures T s < T < T d , where T s and T d are the critical temperatures of s- and d-bands, respectively. The obtained results show that this coupling is enhanced by the applied current and reflected by the vortex dynamics in two bands. A small amount of Cooper pairs in the s-band form a series of different vortex and antivortex states. Mutual attraction of vortex and antivortex induces simultaneous motion of s- and d-vortices at applied current I . This work provides theoretical background for the design of mesoscopic superconducting devices. • Finite element method is used to numerically solve the two-band time-dependent Ginzburg-Landau equation. • The coupling between s- and d-waves is investigated in a two-band 3D superconducting strip. • The effect of applied current, external magnetic field, weak link on the s- and d-vortices interaction was studied. • Mutual attraction of vortex and antivortex induces simultaneous motion of s- and d-vortices at applied current.