Multiquantum Vortices in Conventional Superconductors with Columnar   Defects Near the Upper Critical Field
  Equilibrium vortex configuration in conventional type II superconductors containing columnar defects is theoretically investigated. Near the upper critical field a single defect causes a strong local deformation of the vortex lattice. This deformation has $C_3$ or $C_6$ point symmetry, whose character strongly depends on the vortex-defect interaction. If the interaction is attractive, the vortices can collapse onto defect, while in the case of repulsion the regions free of vortices appear near a defect. Increasing the applied magnetic field results in an abrupt change of the configuration of vortices giving rise to reentering transitions between configurations with $C_3$ or $C_6$ symmetry. In the case of a small concentration of defects these transitions manifest themselves as jumps of magnetization and discontinuties of the magnetic susceptibility. 
Gregory M. Braverman, Sergey A. Gredeskul, Yshai Avishai