I. Lefebvre et al., STRAINED-LAYER EPITAXY - HOW DO CAPPING LAYERS AND OPPOSITELY STRAINED INTERMEDIATE LAYERS ENHANCE THE CRITICAL THICKNESS, Journal of vacuum science & technology. B, Microelectronics and nanometer structures processing, measurement and phenomena, 12(4), 1994, pp. 2527-2531
Within a valence force field framework, we calculate the critical thic
kness of a film that is lattice mismatched to the substrate on which i
t is epitaxially deposited. A capping layer that is lattice matched to
the substrate is known to enhance the critical thickness. We calculat
e the efficiency of the capping layer as a function of its thickness.
We also demonstrate that this efficiency can be improved by using a ca
pping layer that is not lattice matched to the substrate. When the cap
ping layer is undesirable, another way of enhancing the critical thick
ness is to use an oppositely strained intermediate (OSI) layer between
the substrate and the film. To maximize efficiency, the OSI layer lat
tice constant should be larger (respectively, smaller) than that of th
e substrate if the film is in tension (respectively, compression). We
demonstrate that a single OSI layer has no significant effect on the c
ritical thickness. A microscopic description of the strain on all of s
ystem is provided, and the mechanism of strain compensation is explain
ed.