Abstract
A systematic study of the geometry dependent nucleation of superconductivity in nanoscaled superconductors is presented in this paper. The experimental Τ<sub>c</sub>(Η) phase boundary is compared to theoretical calculations obtained in the framework of the linearized Ginzburg-Landau theory for different geometries (square, triangle, disk). The influence of the transformation of a square into a rectangle on the Τ<sub>c</sub>(Η) phase boundary is analyzed. In elongated rectangles, a crossover from a linear to a parabolic field dependence of Τ<sub>c</sub> has been observed. The evolution of the superconducting state is studied in a perforated disk by varying the size of the hole. A transition from a one-dimensional to a two-dimensional regime is seen when increasing the magnetic field for disks with small holes.
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