A minimal size for granular superconductors |
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| Institution: | 1. Visualization and MultiMedia Lab (VMML), Department of Informatics, University of Zurich, Switzerland;2. Institute of Computing, Federal Fluminense University, Niteroi, Brazil;3. IPRODAM3D Research Group, La Salle University, Arequipa, Peru;1. College of Physics, Sichuan University, Chengdu, China;2. Institute of Atomic and Molecular Physics, Sichuan University, Chengdu, China;3. Analytical and Testing Center, Sichuan University, Chengdu, China |
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| Abstract: | We investigate the minimal size of small superconducting grains by means of a Ginzburg–Landau model confined to a sphere of radius R. This model is supposed to describe a material in the form of a ball, whose transition temperature when presented in bulk form, T0, is known. We obtain an equation for the critical temperature as a function of R and of T0, allowing us to obtain a minimal radius of the sphere below which no superconducting transition exists. An estimate of values of minimal radii for different materials is done. |
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