  The magnetic field effect in the Josephson tunneling between two d-wave
superconductors are investigated. When the crystal orientation of one (or each)
superconductor relative to the interface normal is such that midgap states
exist at the interface, there is a component of the tunneling current due to
the midgap states. For a junction with a flat {001}|{110} or {100}|{110}
interface, this component is the predominant contribution to the current. The
predicted current-field dependence differs entirely from the conventional
Fraunhofer pattern, in agreement with a published measurement. This is because,
apart from the Fraunhofer factor, the critical current depends on the magnetic
field B through the current density also which is a linear function of B for
weak B.
