We show how to couple two free-fermion chains so that the excitations consist
of Cooper pairs with zero energy, and free particles obeying (mutual) exclusion
statistics. This behavior is reminiscent of anyonic superconductivity, and of a
ferromagnetic version of the Haldane-Shastry spin chain, although here the
interactions are local. We solve this model using the nested Bethe ansatz, and
find all the eigenstates; the Cooper pairs correspond to exact-string or
``0/0'' solutions of the Bethe equations. We show how the model possesses an
infinite-dimensional symmetry algebra, which is a supersymmetric version of the
Yangian symmetry algebra for the Haldane-Shastry model.Comment: 16 pages. v2: includes explicit expression for super-Yangian
generato