  The flux as measured by the Josephson effect in a SQUID-like configuration
with a ferromagnetic core inserted into its center, is shown to be sensitive to
the vector potential arising from the central ferromagnetic core, even when the
core is covered with a superconducting material that prevents any magnetic
field lines from ever reaching the perimeter of the SQUID-like configuration.
This leads to a macroscopic, Aharonov-Bohm-like effect that is observable in an
asymmetric hysteresis loop in the response of the SQUID-like configuration to
an externally applied magnetic field.
