  We consider a quantum particle in tilted two-dimensional lattices in the
tight-binding approximations. We found that for some lattice geometries and
certain orientations of the static force with respect to the lattice primary
axes the particle can freely move across the lattice in the direction
perpendicular to the vector of the static force. This effect is argued to be
analogue of the photon-induced tunneling in driven one-dimensional lattices.
The obtained dispersion relation for the transverse motion of the particle
draws this analogy further by eventually showing band collapses when a control
parameter is varied.
