  We introduce a novel concept of superdirective antennas based on the
generation of higher-order optically-induced magnetic multipole modes.
All-dielectric nanoantenna can be realized as an optically small spherical
dielectric nanoparticle with a notch excited by a point source (e.g. a quantum
dot) located in the notch. The superdirectivity effect is not associated with
high dissipative losses. For these dielectric nanoantennas we predict the
effect of the beam steering at the nanoscale characterized by a subwavelength
sensitivity of the beam radiation direction to the source position. We confirm
the predicted effects experimentally through the scaling to the microwave
frequency range.
