Vortex quasi-crystals in mesoscopic superconducting samples
Wang Jing-Kun1, Zhang Wei1, 2, †, , C A R Sá de Melo3
       

We consider a vortex lattice in a pentagon superconducting sample having Penrose tiling with 5-fold rotational symmetry. The tiles consist of two types of lozenges, one with internal angles 36° and 144° (thin lozenge) and the other with internal angles 72° and 108° (thick lozenge), and the vortices (solid circles) are located at the vertices of each lozenge.