  The lineshape of the tunneling conductance in double quantum wells with a
large-scale roughness of heterointerfaces is investigated. Large-scale
variations of coupled energy levels and scattering due to the short-range
potential are taken into account. The interplay between the inhomogeneous
broadening, induced by the non-screened part of large-scale potential, and the
homogeneous broadening due to the scattering by short-range potentials is
considered. It is shown that the large inhomogeneous broadening can be strongly
modified by nonlocal effects involved in the proposed mechanism of
inhomogeneity. Related change of lineshape of the resonant tunneling
conductance between Gaussian and Lorentzian peaks is described. The theoretical
results agree quite well with experimental data.
