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We examine dependence of the critical Josephson current on the length L ofthe normal bridge N between two bulk superconductors. This dependence turns outto be nonanalytic at small L. The nonanalyticity originates from thecontribution of extended quasiparticle states with energies well above thesuperconducting gap. This should be contrasted with the more familiarcontribution to the Josephson current coming from Andreev bound stateslocalized in the normal region at energies below the gap.Comment: 4 pages, 1 figur

Singular length dependence of critical current in superconductor/normal-metal/superconductor bridges