Dynamics of fractional vortices in two-band superconductors

• DOI: 10.1063/10.0006563
• Publication Date: 2021-11-30T17:11:10Z
• Authors: A. M. Kutsyk; A. L. Kasatkin; A. A. Kordyuk
• Keywords: Ginzburg–Landau theory; Type-II superconductor

The entry of fractional vortices and their subsequent dynamics inside a two-band superconductor is explored based on the numerical solutions time-dependent Ginzburg–Landau (TDGL) equations. We consider case when superfluid electron condensates from two zones are characterized by quite different parameters, such as coherence lengths ξi, London penetration depths λi, which in turn leads to critical magnetic fields Hc,iand flux quanta ϕivalues for superconducting state these zones. Numerical TDGL equations increasing external field followed mathematical modeling were performed this finite element method. have time evolution process specimens geometries: circular disk, disk with triangular cutout. Obtained results indicate that penetrates specimen form they can overcome edge barrier, may be vortex types. Therefore, first penetrate lower barrier height (i.e., Hc,i) while other type start at higher value. Another mechanism formation during entrance related difference values viscosity coefficients determine rate proliferation sample. Within specimen, move order arrange. Vortices types attract each try stick together thus forming composite whole quantum value ϕ0 = h/2e.