Abstract:

Efficient algorithms for the simulation of strained heteroepitxial
growth with intermixing in 2+1 dimensions are presented. The first of
these algorithms is an extension of the energy localization method
[T.P. Schulze and P. Smereka, J. Mech. Phys. Sol. {\bf 3} 521-538
(2009)] from 1+1 to 2+1 dimensions. Two approximations of this basic
algorithm are then introduced, one of which treats adatoms in a more
efficient manner, while the other makes use of an approximation of the
change in elastic energy in terms of local elastic energy density. In
both cases, it is demonstrated that a reasonable level of fidelity is
achieved.  Results are presented showing how the film morphology is
affected by misfit and deposition rate. In addition, simulations of
stacked quantum dots are also presented.