Crossover in the local density of states of mesoscopic SNS junctions
  Andreev levels deplete energy states above the superconductive gap, which leads to the peculiar nonmonotonous crossover in the local density of states of mesoscopic superconductor/normal-metal/superconductor junctions. This effect is especially pronounced in the case when the normal metal bridge length is small compared to the superconductive coherence length. Remarkable property of the crossover function is that it vanishes not only at the proximity induced gap but also at the superconductive gap. Analytical expressions for the density of states at the both gap edges, as well as general structure of the crossover are discussed. 
Alex Levchenko