Dependences of local density of state on temperature, size, and shape in two-dimensional nano-structured superconductors

In this paper, we investigate a local density of state (LDOS) in two-dimensional nano-structured superconductor. We solve the Bogoliubov-de Gennes equations self-consistently with finite element method. superconductor, LDOS as function energy has many discrete peaks. Discretization comes from discretization levels due to quantum confinement effect system. When temperature increases, width peak is spread large range and neighbor peaks are overlapped. On other hand, for fixed temperature, behavior different between nano-scaled rectangular square systems. system, when only length long side contribution suppressed, while short remains large. Then, some left even very These form periodic structure can be regarded gaps multi gap effect. system tend arrange equally. which exist small. Also, period smaller than that