A scenario for the unusual paramagnetic reentrance behavior at ultra-low
temperatures in Nb-Ag, Nb-Au, and Nb-Cu cylinders is presented. For the
diamagnetic response down to temperatures of the order 15 mK, the standard
theory (quasi-classical approximation) for superconductors appears to work very
well, assuming that Ag, Au, and Cu remain in the normal state except for the
proximity-induced superconductivity. Here it is proposed that these noble
metals may become p-wave superconductors with a transition temperature of order
10 mK. Below this temperature, p-wave triplet superconductivity emerges around
the periphery of the cylinder. The diamagnetic current flowing in the periphery
is compensated by a quantized paramagnetic current in the opposite direction,
thus providing a simple explanation for the observed increase in the
susceptibility at ultra-low temperatures.Comment: RevTex, 8 pages with 1 eps figur