LAUSR

Superconducting critical temperature T c for a dirty nanosized square s-wave superconducting plate becomes five times higher than that of a pure bulk superconductor. T c is obtained by solving the Bogoliubov-de Gennes equations with the finite element method. As the dirty superconductor, we consider a superconductor with a spatially random potential for superconducting electrons. We show that the enhancement of T c comes from cooperation of size effects and impurity effects, both of which increase the local density of the Cooper pairs.Superconducting critical temperature T c for a dirty nanosized square s-wave superconducting plate becomes five times higher than that of a pure bulk superconductor. T c is obtained by solving the Bogoliubov-de Gennes equations with the finite element method. As the dirty superconductor, we consider a superconductor with a spatially random potential for superconducting electrons. We show that the enhancement of T c comes from cooperation of size effects and impurity effects, both of which increase the local density of the Cooper pairs.