  We show that the anomalous Hall effect (AHE) at a magnetic interface with
strong spin-orbit coupling can be tuned with an external electric field. By
altering the strength of the inversion symmetry breaking, the electric field
changes the Rashba interaction, which in turn modifies the magnitude of the
Berry curvature, the central quantity in determining the anomalous Hall
conductivity (AHC). The effect is illustrated with a square lattice model,
which yields a quadratic dependence of the AHC for small electric fields.
Explicit density-functional calculations were performed for the recently grown
iridate interface, viz., the (SrIrO$_3$)$_1$/(SrMnO$_3$)$_1$ (001) structure,
both with and without an electric field. The effect may be potentially useful
in spintronics applications.
