  Due to the absence of a center of inversion in some superconducting
compounds, a p-wave admixture to the dominant d-wave order parameter must
exist. If time-reversal is also violated, an allowed invariant is the product
of the d-wave, p-wave and an appropriately directed current. We show that this
leads to an anomalous Josephson current for tunneling along the direction
parallel to the axis of the p-wave component, where the current is the Meissner
current and the Josephson loop current along the surface of the tunnel barrier.
These ideas are applied to the superconducting state of the cuprates in the
pseudogap region of the phase diagram where in the normal phase some
experiments have detected a time-reversal and inversion symmetry broken phase.
  The effect is relevant also to heavy-fermion compounds which lack center of
inversion due to crystalline symmetry.
