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We have investigated vortex states in two-dimensional superconductors under aoscillating magnetic field from a chiral helimagnet. We have solved thetwo-dimensional Ginzburg-Landau equations with finite element method. We havefound that when the magnetic field from the chiral helimagnet increases,vortices appear all at once in all periodic regions. This transition isdifferent from that under the uniform magnetic field. Under the compositemagnetic field with the oscillating and uniform fields (down-vortices),vortices antiparallel to the uniform magnetic field disappear. Then, the smalluniform magnetic field easily remove down-vortices.

Phase transition of vortex states in two-dimensional superconductors under a oscillating magnetic field from the chiral helimagnet