Vortex configurations in mesoscopic superconducting triangles : Finite-size and shape effects

摘要: Triangular-shaped mesoscopic superconductors are consistent with the symmetry of Abrikosov vortex lattice resulting in a high stability patterns for commensurate vorticities. However, non-commensurate vorticities, configurations triangles not compatible sample shape. Here we present first direct observation μm-sized niobium using Bitter decoration technique, and analyze states by analytically solving London equations performing molecular-dynamics simulations. We found that filling rules increasing vorticity can be formulated similar way as disks where vortices form shells.