Abstract
Numerical modeling of vortex nucleation in external magnetic field in two-band superconductor using modified Ginzburg-Landau theory is conducted. Results of simulation experiments for a two-band superconducting films MgB 2 near the critical temperature in perpendicular magnetic field is presented. Obtained results seems interesting from the point of investigation of pecularities of vortex dynamics in systems with complex order parameter and another possible applications.
Highlights
Despite a large period of time that passed since the discovery of the hightemperature superconductivity in cuprate compounds in 1987, the question concerning the nature of this phenomenon is still open
A generalized electron–phonon Eliashberg theory for two-band superconductors was used to study the properties of magnesium diboride [8] and nonmagnetic Y(Lu)Ni 2 B2 C borocarbides [9]
In this study we obtain time-dependent GL equations taking into account twoband character of the superconducting state, which was originally developed by Schmid for single band superconductors
Summary
Despite a large period of time that passed since the discovery of the hightemperature superconductivity in cuprate compounds in 1987, the question concerning the nature of this phenomenon is still open. Two-band superconductors, nucleation of vortices, Ginzburg-Landau theory, modi...ed Euler method. A generalized electron–phonon Eliashberg theory for two-band superconductors was used to study the properties of magnesium diboride [8] and nonmagnetic Y(Lu)Ni 2 B2 C borocarbides [9]. Time independent two-band GL equations were successfully used to study the physical properties of recently discovered superconductors such as magnesium diboride (MgB 2 ) [16, 17] and nonmagnetic Y(Lu)Ni 2 B2 C borocarbide compounds [18,19]. We will drive time-dependent GL equations for two-band superconductors We apply this equations for numerical modeling for vortex nucleation in the case thin superconducting ...lm of two-band superconductor MgB 2 with perpendicular external magnetic ...eld.
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