Abstract
Using the two-component Ginzburg-Landau model, we investigate the effect
of sample size and magnitude and homogeneity of external magnetic field
on the stability of fractional vortex states in a mesoscopic two-band
superconducting disk. We found that each fractional state has a
preferable sample size, for which the range of applied field in which
the state is stable is pronouncedly large. Vice versa, there exists an
optimal magnitude of applied field for which a large range of possible
sample radii will support the considered fractional state. Finally, we
show that the stability of fractional states can be enhanced even
further by magnetic nanostructuring of the sample, i.e. by suitably
chosen geometrical parameters and magnetic moment of a ferromagnetic dot
placed on top of the superconducting disk. (C) 2014 Elsevier B.V. All
rights reserved.
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