  In this report, we describe the proximity effect which arises when a
quasicrystal is placed in contact with a superconductor. We consider the
simplest known model of a quasicrystal, the 1D Fibonacci chain, for which all
states are known to be critical. A hybrid ring is made by connecting a finite
piece of such a Fibonacci chain to a BCS-type superconductor. Solving the
resulting Bogoliubov-de Gennes equations self-consistently, we show that the
proximity effect in the Fibonacci chain is long ranged, and that the induced
superconducting order carries information on topological properties, namely,
the winding numbers of edge states of the Fibonacci chain.
