  The Dirac equations for leptons and quarks in the background of an
electroweak $Z-$string have zero mode solutions. If two loops of electroweak
string are linked, the zero modes on one of the loops interacts with the other
loop via an Aharanov-Bohm interaction. The effects of this interaction are
briefly discussed and it is shown that the fermions induce a baryon number on
linked loops of $Z-$string. (Submitted to Proceedings of "Trends in
Astrophysics" Conference, Stockholm, 1994.)
