  Theoretical and numerical calculations of two-phonon processes on gated
lateral semiconductor quantum dots (QDs) are outlined. A heterostructure made
with two laterally coupled QDs, in the presence of an external magnetic field,
has been employed in order to study the electron scattering rate due to
two-phonon processes. The formalism is based on the acoustic phonon modes via
the unscreened deformation potential and the piezoelectric interaction whenever
the crystal lattice lacks a center of inversion symmetry. The rates are
calculated by using second order perturbation theory. The strong dependence of
the scattering rate on the external magnetic field, lattice temperature and QDs
separation distance is presented.
