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Multiband superconductors support the excitation of vortices with fractionalquantum flux, known as fractional vortices. In the ground state, the fractionalvortices in different bands bond together to form a composite vortex with thestandard flux quantum $\Phi_0$; thus, it is difficult to stabilize thefractional vortices. Here we show that fractional vortex lattices can bestabilized in multiband superconductors with a periodic pinning array at thehalf matching field of the composite system, when full matching of thefractionalized vortices occurs. In the presence of a high current, thefractional vortices in different bands decouple and move at differentvelocities. When the current is turned off suddenly, the fractional vortices indifferent bands may be trapped at different pinning sites. This system alsoexhibits rich dynamic behavior, and for fractional vortices in two-bandsuperconductors we find a phases where the vortices one band are pinned and thevortices in the other band are moving. These different phases can be observedin transport measurements, and produce a new type of self-induced Shapiro stepsthat can arise under the application of only a dc drive.

Stabilizing fractional vortices in multiband superconductors with periodic pinning arrays