Abstract
Abstract We have studied vortex states in a superconductor with a geometrical constraint such as squares and triangles with sizes of 30 and 50 μm using a scanning SQUID microscope. The quantized magnetic flux enters the superconductors discretely as a function of magnetic field accompanied by the sequential step-wise jump of magnetization of the superconductor. Quantitative as well as qualitative analyses of the spatial vortex arrangement as a function of the number of vortices are shown in comparison with the recent theoretical predictions. In the 30-μm-sized triangle, the magnetic flux penetrates the center of the triangle and its integrated intensity shows Φ 0 , 2 Φ 0 , and 3 Φ 0 as the applied magnetic field increases, suggesting formation of the concentrated multi-vortex or giant vortex states.
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