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Abstarct Vortex states in a chiral helimagnet/superconductor bilayer are investigated numerically, using the Ginzburg–Landau equations with the finite element method. In this bilayer, effect of the chiral helimagnet on the superconductor is taken as an external field. Magnetic field distribution can be controlled by an applied field to the bilayer. It is shown that a single vortex in a gradient field is elongated along the field gradient. In zero applied field, there are up- and down vortices which are parallel or antiparallel to the z -axis, respectively. But increasing the applied field, down-vortices disappear and up-vortices form undulated triangular lattices. [ABSTRACT FROM AUTHOR]

We study effects of a chiral helimagnet (CHM) on vortex states in a superconductor, solving the Ginzburg–Landau equations in a chiral helimagnet/superconductor bilayer system. We found that vortices form a periodically modulated triangular lattice, because the magnetic field from the chiral helimagnet H CHM oscillates spatially. An increase of a critical current is expected, because vortices are pinned by the H CHM . [ABSTRACT FROM AUTHOR]